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Finding the Fourth Proportional to 25,781.90, 38,677.70 and 10,200.74

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Solution

The fourth proportional to 25,781.90, 38,677.70 and 10,200.74 is: 15,303.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,781.90 : 38,677.70 = 10,200.74 : x
  2. Step 2: Convert to fraction form
    25,781.90/38,677.70 = 10,200.74/x
  3. Step 3: Cross multiply
    25,781.90x = 38,677.70 × 10,200.74
  4. Step 4: Simplify right side
    25,781.90x = 394,540,993.61
  5. Step 5: Solve for x
    x = 394,540,993.61/25,781.90
  6. Step 6: Final answer
    x = 15,303.03

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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.