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Finding the Fourth Proportional to 13,607.50, 20,411.96 and 3,746.56

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Solution

The fourth proportional to 13,607.50, 20,411.96 and 3,746.56 is: 5,620.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,607.50 : 20,411.96 = 3,746.56 : x
  2. Step 2: Convert to fraction form
    13,607.50/20,411.96 = 3,746.56/x
  3. Step 3: Cross multiply
    13,607.50x = 20,411.96 × 3,746.56
  4. Step 4: Simplify right side
    13,607.50x = 76,474,614.12
  5. Step 5: Solve for x
    x = 76,474,614.12/13,607.50
  6. Step 6: Final answer
    x = 5,620.03

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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.