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Finding the Fourth Proportional to 17,449.46, 24,079.74 and 9,896.48

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Solution

The fourth proportional to 17,449.46, 24,079.74 and 9,896.48 is: 13,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,449.46 : 24,079.74 = 9,896.48 : x
  2. Step 2: Convert to fraction form
    17,449.46/24,079.74 = 9,896.48/x
  3. Step 3: Cross multiply
    17,449.46x = 24,079.74 × 9,896.48
  4. Step 4: Simplify right side
    17,449.46x = 238,304,665.32
  5. Step 5: Solve for x
    x = 238,304,665.32/17,449.46
  6. Step 6: Final answer
    x = 13,656.85

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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.