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Finding the Fourth Proportional to 16,463.62, 22,719.80 and 8,909.95

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Solution

The fourth proportional to 16,463.62, 22,719.80 and 8,909.95 is: 12,295.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,463.62 : 22,719.80 = 8,909.95 : x
  2. Step 2: Convert to fraction form
    16,463.62/22,719.80 = 8,909.95/x
  3. Step 3: Cross multiply
    16,463.62x = 22,719.80 × 8,909.95
  4. Step 4: Simplify right side
    16,463.62x = 202,432,237.46
  5. Step 5: Solve for x
    x = 202,432,237.46/16,463.62
  6. Step 6: Final answer
    x = 12,295.73

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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.