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Finding the Fourth Proportional to 17,638.72, 24,343.68 and 10,186.72

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Solution

The fourth proportional to 17,638.72, 24,343.68 and 10,186.72 is: 14,058.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.72 : 24,343.68 = 10,186.72 : x
  2. Step 2: Convert to fraction form
    17,638.72/24,343.68 = 10,186.72/x
  3. Step 3: Cross multiply
    17,638.72x = 24,343.68 × 10,186.72
  4. Step 4: Simplify right side
    17,638.72x = 247,982,251.93
  5. Step 5: Solve for x
    x = 247,982,251.93/17,638.72
  6. Step 6: Final answer
    x = 14,058.97

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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.