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Finding the Fourth Proportional to 25,132.56, 37,702.94 and 8,493.60

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Solution

The fourth proportional to 25,132.56, 37,702.94 and 8,493.60 is: 12,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,132.56 : 37,702.94 = 8,493.60 : x
  2. Step 2: Convert to fraction form
    25,132.56/37,702.94 = 8,493.60/x
  3. Step 3: Cross multiply
    25,132.56x = 37,702.94 × 8,493.60
  4. Step 4: Simplify right side
    25,132.56x = 320,233,648.72
  5. Step 5: Solve for x
    x = 320,233,648.72/25,132.56
  6. Step 6: Final answer
    x = 12,741.78

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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.