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Finding the Fourth Proportional to 25,781.40, 38,672.10 and 12,659.40

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Solution

The fourth proportional to 25,781.40, 38,672.10 and 12,659.40 is: 18,989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,781.40 : 38,672.10 = 12,659.40 : x
  2. Step 2: Convert to fraction form
    25,781.40/38,672.10 = 12,659.40/x
  3. Step 3: Cross multiply
    25,781.40x = 38,672.10 × 12,659.40
  4. Step 4: Simplify right side
    25,781.40x = 489,565,582.74
  5. Step 5: Solve for x
    x = 489,565,582.74/25,781.40
  6. Step 6: Final answer
    x = 18,989.10

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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.