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Finding the Fourth Proportional to 17,701.80, 24,428.10 and 10,149.48

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Solution

The fourth proportional to 17,701.80, 24,428.10 and 10,149.48 is: 14,006.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,701.80 : 24,428.10 = 10,149.48 : x
  2. Step 2: Convert to fraction form
    17,701.80/24,428.10 = 10,149.48/x
  3. Step 3: Cross multiply
    17,701.80x = 24,428.10 × 10,149.48
  4. Step 4: Simplify right side
    17,701.80x = 247,932,512.39
  5. Step 5: Solve for x
    x = 247,932,512.39/17,701.80
  6. Step 6: Final answer
    x = 14,006.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.