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Finding the Fourth Proportional to 25,177.18, 37,763.31 and 7,647.16

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Solution

The fourth proportional to 25,177.18, 37,763.31 and 7,647.16 is: 11,469.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,177.18 : 37,763.31 = 7,647.16 : x
  2. Step 2: Convert to fraction form
    25,177.18/37,763.31 = 7,647.16/x
  3. Step 3: Cross multiply
    25,177.18x = 37,763.31 × 7,647.16
  4. Step 4: Simplify right side
    25,177.18x = 288,782,073.70
  5. Step 5: Solve for x
    x = 288,782,073.70/25,177.18
  6. Step 6: Final answer
    x = 11,469.99

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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.