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Finding the Fourth Proportional to 17,454.84, 24,087.56 and 9,497.09

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Solution

The fourth proportional to 17,454.84, 24,087.56 and 9,497.09 is: 13,105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,454.84 : 24,087.56 = 9,497.09 : x
  2. Step 2: Convert to fraction form
    17,454.84/24,087.56 = 9,497.09/x
  3. Step 3: Cross multiply
    17,454.84x = 24,087.56 × 9,497.09
  4. Step 4: Simplify right side
    17,454.84x = 228,761,725.20
  5. Step 5: Solve for x
    x = 228,761,725.20/17,454.84
  6. Step 6: Final answer
    x = 13,105.92

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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.