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Finding the Fourth Proportional to 12,937.96, 17,854.50 and 7,487.56

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Solution

The fourth proportional to 12,937.96, 17,854.50 and 7,487.56 is: 10,332.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,937.96 : 17,854.50 = 7,487.56 : x
  2. Step 2: Convert to fraction form
    12,937.96/17,854.50 = 7,487.56/x
  3. Step 3: Cross multiply
    12,937.96x = 17,854.50 × 7,487.56
  4. Step 4: Simplify right side
    12,937.96x = 133,686,640.02
  5. Step 5: Solve for x
    x = 133,686,640.02/12,937.96
  6. Step 6: Final answer
    x = 10,332.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.