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Finding the Fourth Proportional to 27,312.67, 40,957.41 and 11,524.78

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Solution

The fourth proportional to 27,312.67, 40,957.41 and 11,524.78 is: 17,282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,312.67 : 40,957.41 = 11,524.78 : x
  2. Step 2: Convert to fraction form
    27,312.67/40,957.41 = 11,524.78/x
  3. Step 3: Cross multiply
    27,312.67x = 40,957.41 × 11,524.78
  4. Step 4: Simplify right side
    27,312.67x = 472,025,139.62
  5. Step 5: Solve for x
    x = 472,025,139.62/27,312.67
  6. Step 6: Final answer
    x = 17,282.28

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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.