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Finding the Fourth Proportional to 17,609.72, 24,301.58 and 9,652.10

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Solution

The fourth proportional to 17,609.72, 24,301.58 and 9,652.10 is: 13,319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,609.72 : 24,301.58 = 9,652.10 : x
  2. Step 2: Convert to fraction form
    17,609.72/24,301.58 = 9,652.10/x
  3. Step 3: Cross multiply
    17,609.72x = 24,301.58 × 9,652.10
  4. Step 4: Simplify right side
    17,609.72x = 234,561,110.55
  5. Step 5: Solve for x
    x = 234,561,110.55/17,609.72
  6. Step 6: Final answer
    x = 13,319.98

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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.