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Finding the Fourth Proportional to 27,140.54, 40,706.61 and 10,508.30

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Solution

The fourth proportional to 27,140.54, 40,706.61 and 10,508.30 is: 15,760.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,140.54 : 40,706.61 = 10,508.30 : x
  2. Step 2: Convert to fraction form
    27,140.54/40,706.61 = 10,508.30/x
  3. Step 3: Cross multiply
    27,140.54x = 40,706.61 × 10,508.30
  4. Step 4: Simplify right side
    27,140.54x = 427,757,269.86
  5. Step 5: Solve for x
    x = 427,757,269.86/27,140.54
  6. Step 6: Final answer
    x = 15,760.82

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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.