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Finding the Fourth Proportional to 27,874.40, 38,464.14 and 16,541.96

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Solution

The fourth proportional to 27,874.40, 38,464.14 and 16,541.96 is: 22,826.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.40 : 38,464.14 = 16,541.96 : x
  2. Step 2: Convert to fraction form
    27,874.40/38,464.14 = 16,541.96/x
  3. Step 3: Cross multiply
    27,874.40x = 38,464.14 × 16,541.96
  4. Step 4: Simplify right side
    27,874.40x = 636,272,265.31
  5. Step 5: Solve for x
    x = 636,272,265.31/27,874.40
  6. Step 6: Final answer
    x = 22,826.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.