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Finding the Fourth Proportional to 17,679.29, 24,397.76 and 9,722.25

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Solution

The fourth proportional to 17,679.29, 24,397.76 and 9,722.25 is: 13,416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,679.29 : 24,397.76 = 9,722.25 : x
  2. Step 2: Convert to fraction form
    17,679.29/24,397.76 = 9,722.25/x
  3. Step 3: Cross multiply
    17,679.29x = 24,397.76 × 9,722.25
  4. Step 4: Simplify right side
    17,679.29x = 237,201,073.55
  5. Step 5: Solve for x
    x = 237,201,073.55/17,679.29
  6. Step 6: Final answer
    x = 13,416.89

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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.