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Finding the Fourth Proportional to 24,282.92, 36,402.80 and 9,488.47

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Solution

The fourth proportional to 24,282.92, 36,402.80 and 9,488.47 is: 14,224.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,282.92 : 36,402.80 = 9,488.47 : x
  2. Step 2: Convert to fraction form
    24,282.92/36,402.80 = 9,488.47/x
  3. Step 3: Cross multiply
    24,282.92x = 36,402.80 × 9,488.47
  4. Step 4: Simplify right side
    24,282.92x = 345,406,875.72
  5. Step 5: Solve for x
    x = 345,406,875.72/24,282.92
  6. Step 6: Final answer
    x = 14,224.27

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