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Finding the Fourth Proportional to 27,884.29, 38,474.50 and 16,552.19

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Solution

The fourth proportional to 27,884.29, 38,474.50 and 16,552.19 is: 22,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.29 : 38,474.50 = 16,552.19 : x
  2. Step 2: Convert to fraction form
    27,884.29/38,474.50 = 16,552.19/x
  3. Step 3: Cross multiply
    27,884.29x = 38,474.50 × 16,552.19
  4. Step 4: Simplify right side
    27,884.29x = 636,836,959.02
  5. Step 5: Solve for x
    x = 636,836,959.02/27,884.29
  6. Step 6: Final answer
    x = 22,838.56

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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.