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Finding the Fourth Proportional to 27,874.31, 38,463.95 and 16,541.84

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Solution

The fourth proportional to 27,874.31, 38,463.95 and 16,541.84 is: 22,826.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.31 : 38,463.95 = 16,541.84 : x
  2. Step 2: Convert to fraction form
    27,874.31/38,463.95 = 16,541.84/x
  3. Step 3: Cross multiply
    27,874.31x = 38,463.95 × 16,541.84
  4. Step 4: Simplify right side
    27,874.31x = 636,264,231.64
  5. Step 5: Solve for x
    x = 636,264,231.64/27,874.31
  6. Step 6: Final answer
    x = 22,826.19

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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.