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Finding the Fourth Proportional to 17,663.91, 24,375.01 and 9,705.96

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Solution

The fourth proportional to 17,663.91, 24,375.01 and 9,705.96 is: 13,393.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,663.91 : 24,375.01 = 9,705.96 : x
  2. Step 2: Convert to fraction form
    17,663.91/24,375.01 = 9,705.96/x
  3. Step 3: Cross multiply
    17,663.91x = 24,375.01 × 9,705.96
  4. Step 4: Simplify right side
    17,663.91x = 236,582,872.06
  5. Step 5: Solve for x
    x = 236,582,872.06/17,663.91
  6. Step 6: Final answer
    x = 13,393.57

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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.