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Finding the Fourth Proportional to 16,463.75, 22,719.79 and 8,909.91

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Solution

The fourth proportional to 16,463.75, 22,719.79 and 8,909.91 is: 12,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,463.75 : 22,719.79 = 8,909.91 : x
  2. Step 2: Convert to fraction form
    16,463.75/22,719.79 = 8,909.91/x
  3. Step 3: Cross multiply
    16,463.75x = 22,719.79 × 8,909.91
  4. Step 4: Simplify right side
    16,463.75x = 202,431,284.12
  5. Step 5: Solve for x
    x = 202,431,284.12/16,463.75
  6. Step 6: Final answer
    x = 12,295.58

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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.