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Finding the Fourth Proportional to 16,488.38, 22,754.24 and 11,780.66

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Solution

The fourth proportional to 16,488.38, 22,754.24 and 11,780.66 is: 16,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,488.38 : 22,754.24 = 11,780.66 : x
  2. Step 2: Convert to fraction form
    16,488.38/22,754.24 = 11,780.66/x
  3. Step 3: Cross multiply
    16,488.38x = 22,754.24 × 11,780.66
  4. Step 4: Simplify right side
    16,488.38x = 268,059,792.32
  5. Step 5: Solve for x
    x = 268,059,792.32/16,488.38
  6. Step 6: Final answer
    x = 16,257.50

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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.