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Finding the Fourth Proportional to 24,298.17, 36,452.79 and 7,658.12

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Solution

The fourth proportional to 24,298.17, 36,452.79 and 7,658.12 is: 11,488.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,298.17 : 36,452.79 = 7,658.12 : x
  2. Step 2: Convert to fraction form
    24,298.17/36,452.79 = 7,658.12/x
  3. Step 3: Cross multiply
    24,298.17x = 36,452.79 × 7,658.12
  4. Step 4: Simplify right side
    24,298.17x = 279,159,657.89
  5. Step 5: Solve for x
    x = 279,159,657.89/24,298.17
  6. Step 6: Final answer
    x = 11,488.92

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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.