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Finding the Fourth Proportional to 25,548.54, 38,257.20 and 15,657.86

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Solution

The fourth proportional to 25,548.54, 38,257.20 and 15,657.86 is: 23,446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,548.54 : 38,257.20 = 15,657.86 : x
  2. Step 2: Convert to fraction form
    25,548.54/38,257.20 = 15,657.86/x
  3. Step 3: Cross multiply
    25,548.54x = 38,257.20 × 15,657.86
  4. Step 4: Simplify right side
    25,548.54x = 599,025,690.31
  5. Step 5: Solve for x
    x = 599,025,690.31/25,548.54
  6. Step 6: Final answer
    x = 23,446.57

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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.