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Finding the Fourth Proportional to 17,734.31, 24,473.42 and 9,776.36

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Solution

The fourth proportional to 17,734.31, 24,473.42 and 9,776.36 is: 13,491.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,734.31 : 24,473.42 = 9,776.36 : x
  2. Step 2: Convert to fraction form
    17,734.31/24,473.42 = 9,776.36/x
  3. Step 3: Cross multiply
    17,734.31x = 24,473.42 × 9,776.36
  4. Step 4: Simplify right side
    17,734.31x = 239,260,793.10
  5. Step 5: Solve for x
    x = 239,260,793.10/17,734.31
  6. Step 6: Final answer
    x = 13,491.41

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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.