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Finding the Fourth Proportional to 17,668.22, 24,381.60 and 9,710.42

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Solution

The fourth proportional to 17,668.22, 24,381.60 and 9,710.42 is: 13,400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,668.22 : 24,381.60 = 9,710.42 : x
  2. Step 2: Convert to fraction form
    17,668.22/24,381.60 = 9,710.42/x
  3. Step 3: Cross multiply
    17,668.22x = 24,381.60 × 9,710.42
  4. Step 4: Simplify right side
    17,668.22x = 236,755,576.27
  5. Step 5: Solve for x
    x = 236,755,576.27/17,668.22
  6. Step 6: Final answer
    x = 13,400.08

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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.