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Finding the Fourth Proportional to 17,701.60, 24,428.84 and 10,149.36

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Solution

The fourth proportional to 17,701.60, 24,428.84 and 10,149.36 is: 14,006.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,701.60 : 24,428.84 = 10,149.36 : x
  2. Step 2: Convert to fraction form
    17,701.60/24,428.84 = 10,149.36/x
  3. Step 3: Cross multiply
    17,701.60x = 24,428.84 × 10,149.36
  4. Step 4: Simplify right side
    17,701.60x = 247,937,091.54
  5. Step 5: Solve for x
    x = 247,937,091.54/17,701.60
  6. Step 6: Final answer
    x = 14,006.48

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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.