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Finding the Fourth Proportional to 24,658.32, 36,991.20 and 9,074.76

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Solution

The fourth proportional to 24,658.32, 36,991.20 and 9,074.76 is: 13,613.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,658.32 : 36,991.20 = 9,074.76 : x
  2. Step 2: Convert to fraction form
    24,658.32/36,991.20 = 9,074.76/x
  3. Step 3: Cross multiply
    24,658.32x = 36,991.20 × 9,074.76
  4. Step 4: Simplify right side
    24,658.32x = 335,686,262.11
  5. Step 5: Solve for x
    x = 335,686,262.11/24,658.32
  6. Step 6: Final answer
    x = 13,613.51

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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.