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Finding the Fourth Proportional to 13,985.70, 20,934.81 and 10,455.18

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Solution

The fourth proportional to 13,985.70, 20,934.81 and 10,455.18 is: 15,650.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.70 : 20,934.81 = 10,455.18 : x
  2. Step 2: Convert to fraction form
    13,985.70/20,934.81 = 10,455.18/x
  3. Step 3: Cross multiply
    13,985.70x = 20,934.81 × 10,455.18
  4. Step 4: Simplify right side
    13,985.70x = 218,877,206.82
  5. Step 5: Solve for x
    x = 218,877,206.82/13,985.70
  6. Step 6: Final answer
    x = 15,650.07

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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.