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Finding the Fourth Proportional to 25,177.70, 37,778.70 and 17,766.20

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Solution

The fourth proportional to 25,177.70, 37,778.70 and 17,766.20 is: 26,657.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,177.70 : 37,778.70 = 17,766.20 : x
  2. Step 2: Convert to fraction form
    25,177.70/37,778.70 = 17,766.20/x
  3. Step 3: Cross multiply
    25,177.70x = 37,778.70 × 17,766.20
  4. Step 4: Simplify right side
    25,177.70x = 671,183,939.94
  5. Step 5: Solve for x
    x = 671,183,939.94/25,177.70
  6. Step 6: Final answer
    x = 26,657.87

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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.