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Finding the Fourth Proportional to 25,617.48, 38,420.70 and 8,082.60

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Solution

The fourth proportional to 25,617.48, 38,420.70 and 8,082.60 is: 12,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,617.48 : 38,420.70 = 8,082.60 : x
  2. Step 2: Convert to fraction form
    25,617.48/38,420.70 = 8,082.60/x
  3. Step 3: Cross multiply
    25,617.48x = 38,420.70 × 8,082.60
  4. Step 4: Simplify right side
    25,617.48x = 310,539,149.82
  5. Step 5: Solve for x
    x = 310,539,149.82/25,617.48
  6. Step 6: Final answer
    x = 12,122.16

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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.