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Finding the Fourth Proportional to 13,832,947.80, 20,712,096.90 and 13,832,947.80

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Solution

The fourth proportional to 13,832,947.80, 20,712,096.90 and 13,832,947.80 is: 20,712,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832,947.80 : 20,712,096.90 = 13,832,947.80 : x
  2. Step 2: Convert to fraction form
    13,832,947.80/20,712,096.90 = 13,832,947.80/x
  3. Step 3: Cross multiply
    13,832,947.80x = 20,712,096.90 × 13,832,947.80
  4. Step 4: Simplify right side
    13,832,947.80x = 286,509,355,246,241.81
  5. Step 5: Solve for x
    x = 286,509,355,246,241.81/13,832,947.80
  6. Step 6: Final answer
    x = 20,712,096.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.