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Finding the Fourth Proportional to 24,758.73, 37,115.06 and 9,164.25

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Solution

The fourth proportional to 24,758.73, 37,115.06 and 9,164.25 is: 13,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,758.73 : 37,115.06 = 9,164.25 : x
  2. Step 2: Convert to fraction form
    24,758.73/37,115.06 = 9,164.25/x
  3. Step 3: Cross multiply
    24,758.73x = 37,115.06 × 9,164.25
  4. Step 4: Simplify right side
    24,758.73x = 340,131,642.78
  5. Step 5: Solve for x
    x = 340,131,642.78/24,758.73
  6. Step 6: Final answer
    x = 13,737.85

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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.