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Finding the Fourth Proportional to 24,658.30, 36,991.14 and 9,074.74

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Solution

The fourth proportional to 24,658.30, 36,991.14 and 9,074.74 is: 13,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,658.30 : 36,991.14 = 9,074.74 : x
  2. Step 2: Convert to fraction form
    24,658.30/36,991.14 = 9,074.74/x
  3. Step 3: Cross multiply
    24,658.30x = 36,991.14 × 9,074.74
  4. Step 4: Simplify right side
    24,658.30x = 335,684,977.80
  5. Step 5: Solve for x
    x = 335,684,977.80/24,658.30
  6. Step 6: Final answer
    x = 13,613.47

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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.