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Finding the Fourth Proportional to 25,169.48, 37,754.75 and 9,158.48

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Solution

The fourth proportional to 25,169.48, 37,754.75 and 9,158.48 is: 13,737.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,169.48 : 37,754.75 = 9,158.48 : x
  2. Step 2: Convert to fraction form
    25,169.48/37,754.75 = 9,158.48/x
  3. Step 3: Cross multiply
    25,169.48x = 37,754.75 × 9,158.48
  4. Step 4: Simplify right side
    25,169.48x = 345,776,122.78
  5. Step 5: Solve for x
    x = 345,776,122.78/25,169.48
  6. Step 6: Final answer
    x = 13,737.91

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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.