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Finding the Fourth Proportional to 16,463.24, 22,719.10 and 8,909.42

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Solution

The fourth proportional to 16,463.24, 22,719.10 and 8,909.42 is: 12,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,463.24 : 22,719.10 = 8,909.42 : x
  2. Step 2: Convert to fraction form
    16,463.24/22,719.10 = 8,909.42/x
  3. Step 3: Cross multiply
    16,463.24x = 22,719.10 × 8,909.42
  4. Step 4: Simplify right side
    16,463.24x = 202,414,003.92
  5. Step 5: Solve for x
    x = 202,414,003.92/16,463.24
  6. Step 6: Final answer
    x = 12,294.91

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1.5x scale

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.