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Finding the Fourth Proportional to 27,876.25, 38,463.46 and 16,544.15

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Solution

The fourth proportional to 27,876.25, 38,463.46 and 16,544.15 is: 22,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876.25 : 38,463.46 = 16,544.15 : x
  2. Step 2: Convert to fraction form
    27,876.25/38,463.46 = 16,544.15/x
  3. Step 3: Cross multiply
    27,876.25x = 38,463.46 × 16,544.15
  4. Step 4: Simplify right side
    27,876.25x = 636,345,162.32
  5. Step 5: Solve for x
    x = 636,345,162.32/27,876.25
  6. Step 6: Final answer
    x = 22,827.50

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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.