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Finding the Fourth Proportional to 24,397.92, 36,596.52 and 7,758.96

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Solution

The fourth proportional to 24,397.92, 36,596.52 and 7,758.96 is: 11,638.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,397.92 : 36,596.52 = 7,758.96 : x
  2. Step 2: Convert to fraction form
    24,397.92/36,596.52 = 7,758.96/x
  3. Step 3: Cross multiply
    24,397.92x = 36,596.52 × 7,758.96
  4. Step 4: Simplify right side
    24,397.92x = 283,950,934.82
  5. Step 5: Solve for x
    x = 283,950,934.82/24,397.92
  6. Step 6: Final answer
    x = 11,638.33

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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.