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Finding the Fourth Proportional to 17,663.12, 24,375.24 and 9,705.14

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Solution

The fourth proportional to 17,663.12, 24,375.24 and 9,705.14 is: 13,393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,663.12 : 24,375.24 = 9,705.14 : x
  2. Step 2: Convert to fraction form
    17,663.12/24,375.24 = 9,705.14/x
  3. Step 3: Cross multiply
    17,663.12x = 24,375.24 × 9,705.14
  4. Step 4: Simplify right side
    17,663.12x = 236,565,116.73
  5. Step 5: Solve for x
    x = 236,565,116.73/17,663.12
  6. Step 6: Final answer
    x = 13,393.17

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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.