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Finding the Fourth Proportional to 25,781.60, 38,672.40 and 17,026.40

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Solution

The fourth proportional to 25,781.60, 38,672.40 and 17,026.40 is: 25,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,781.60 : 38,672.40 = 17,026.40 : x
  2. Step 2: Convert to fraction form
    25,781.60/38,672.40 = 17,026.40/x
  3. Step 3: Cross multiply
    25,781.60x = 38,672.40 × 17,026.40
  4. Step 4: Simplify right side
    25,781.60x = 658,451,751.36
  5. Step 5: Solve for x
    x = 658,451,751.36/25,781.60
  6. Step 6: Final answer
    x = 25,539.60

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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.