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Finding the Fourth Proportional to 17,761.92, 24,511.31 and 9,804.14

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Solution

The fourth proportional to 17,761.92, 24,511.31 and 9,804.14 is: 13,529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.92 : 24,511.31 = 9,804.14 : x
  2. Step 2: Convert to fraction form
    17,761.92/24,511.31 = 9,804.14/x
  3. Step 3: Cross multiply
    17,761.92x = 24,511.31 × 9,804.14
  4. Step 4: Simplify right side
    17,761.92x = 240,312,400.61
  5. Step 5: Solve for x
    x = 240,312,400.61/17,761.92
  6. Step 6: Final answer
    x = 13,529.64

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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.