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Finding the Fourth Proportional to 16,224.98, 22,391.80 and 9,152.88

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Solution

The fourth proportional to 16,224.98, 22,391.80 and 9,152.88 is: 12,631.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.98 : 22,391.80 = 9,152.88 : x
  2. Step 2: Convert to fraction form
    16,224.98/22,391.80 = 9,152.88/x
  3. Step 3: Cross multiply
    16,224.98x = 22,391.80 × 9,152.88
  4. Step 4: Simplify right side
    16,224.98x = 204,949,458.38
  5. Step 5: Solve for x
    x = 204,949,458.38/16,224.98
  6. Step 6: Final answer
    x = 12,631.72

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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.