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Finding the Fourth Proportional to 17,454.75, 24,087.80 and 9,496.98

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Solution

The fourth proportional to 17,454.75, 24,087.80 and 9,496.98 is: 13,105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,454.75 : 24,087.80 = 9,496.98 : x
  2. Step 2: Convert to fraction form
    17,454.75/24,087.80 = 9,496.98/x
  3. Step 3: Cross multiply
    17,454.75x = 24,087.80 × 9,496.98
  4. Step 4: Simplify right side
    17,454.75x = 228,761,186.92
  5. Step 5: Solve for x
    x = 228,761,186.92/17,454.75
  6. Step 6: Final answer
    x = 13,105.96

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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.