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Finding the Fourth Proportional to 24,720.68, 37,087.96 and 9,940

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Solution

The fourth proportional to 24,720.68, 37,087.96 and 9,940 is: 14,912.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,720.68 : 37,087.96 = 9,940 : x
  2. Step 2: Convert to fraction form
    24,720.68/37,087.96 = 9,940/x
  3. Step 3: Cross multiply
    24,720.68x = 37,087.96 × 9,940
  4. Step 4: Simplify right side
    24,720.68x = 368,654,322.40
  5. Step 5: Solve for x
    x = 368,654,322.40/24,720.68
  6. Step 6: Final answer
    x = 14,912.79

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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.