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Finding the Fourth Proportional to 16,781.74, 25,138.05 and 9,839.50

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Solution

The fourth proportional to 16,781.74, 25,138.05 and 9,839.50 is: 14,738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,781.74 : 25,138.05 = 9,839.50 : x
  2. Step 2: Convert to fraction form
    16,781.74/25,138.05 = 9,839.50/x
  3. Step 3: Cross multiply
    16,781.74x = 25,138.05 × 9,839.50
  4. Step 4: Simplify right side
    16,781.74x = 247,345,842.98
  5. Step 5: Solve for x
    x = 247,345,842.98/16,781.74
  6. Step 6: Final answer
    x = 14,738.99

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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.