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Finding the Fourth Proportional to 16,482, 24,700.50 and 7,592.16

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Solution

The fourth proportional to 16,482, 24,700.50 and 7,592.16 is: 11,377.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,482 : 24,700.50 = 7,592.16 : x
  2. Step 2: Convert to fraction form
    16,482/24,700.50 = 7,592.16/x
  3. Step 3: Cross multiply
    16,482x = 24,700.50 × 7,592.16
  4. Step 4: Simplify right side
    16,482x = 187,530,148.08
  5. Step 5: Solve for x
    x = 187,530,148.08/16,482
  6. Step 6: Final answer
    x = 11,377.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.