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Finding the Fourth Proportional to 27,321.71, 40,937.27 and 9,542.82

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Solution

The fourth proportional to 27,321.71, 40,937.27 and 9,542.82 is: 14,298.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,321.71 : 40,937.27 = 9,542.82 : x
  2. Step 2: Convert to fraction form
    27,321.71/40,937.27 = 9,542.82/x
  3. Step 3: Cross multiply
    27,321.71x = 40,937.27 × 9,542.82
  4. Step 4: Simplify right side
    27,321.71x = 390,656,998.90
  5. Step 5: Solve for x
    x = 390,656,998.90/27,321.71
  6. Step 6: Final answer
    x = 14,298.41

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