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Finding the Fourth Proportional to 24,338.62, 36,493.95 and 9,530.20

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Solution

The fourth proportional to 24,338.62, 36,493.95 and 9,530.20 is: 14,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,338.62 : 36,493.95 = 9,530.20 : x
  2. Step 2: Convert to fraction form
    24,338.62/36,493.95 = 9,530.20/x
  3. Step 3: Cross multiply
    24,338.62x = 36,493.95 × 9,530.20
  4. Step 4: Simplify right side
    24,338.62x = 347,794,642.29
  5. Step 5: Solve for x
    x = 347,794,642.29/24,338.62
  6. Step 6: Final answer
    x = 14,289.83

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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.