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Finding the Fourth Proportional to 17,663.67, 26,484.17 and 8,291.16

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Solution

The fourth proportional to 17,663.67, 26,484.17 and 8,291.16 is: 12,431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,663.67 : 26,484.17 = 8,291.16 : x
  2. Step 2: Convert to fraction form
    17,663.67/26,484.17 = 8,291.16/x
  3. Step 3: Cross multiply
    17,663.67x = 26,484.17 × 8,291.16
  4. Step 4: Simplify right side
    17,663.67x = 219,584,449.48
  5. Step 5: Solve for x
    x = 219,584,449.48/17,663.67
  6. Step 6: Final answer
    x = 12,431.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.