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Finding the Fourth Proportional to 24,538.57, 36,800.06 and 7,894.73

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Solution

The fourth proportional to 24,538.57, 36,800.06 and 7,894.73 is: 11,839.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538.57 : 36,800.06 = 7,894.73 : x
  2. Step 2: Convert to fraction form
    24,538.57/36,800.06 = 7,894.73/x
  3. Step 3: Cross multiply
    24,538.57x = 36,800.06 × 7,894.73
  4. Step 4: Simplify right side
    24,538.57x = 290,526,634.62
  5. Step 5: Solve for x
    x = 290,526,634.62/24,538.57
  6. Step 6: Final answer
    x = 11,839.59

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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.