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Finding the Fourth Proportional to 17,882.00, 24,677.20 and 9,815.72

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Solution

The fourth proportional to 17,882.00, 24,677.20 and 9,815.72 is: 13,545.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.00 : 24,677.20 = 9,815.72 : x
  2. Step 2: Convert to fraction form
    17,882.00/24,677.20 = 9,815.72/x
  3. Step 3: Cross multiply
    17,882.00x = 24,677.20 × 9,815.72
  4. Step 4: Simplify right side
    17,882.00x = 242,224,374.47
  5. Step 5: Solve for x
    x = 242,224,374.47/17,882.00
  6. Step 6: Final answer
    x = 13,545.71

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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.