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Finding the Fourth Proportional to 17,638.80, 24,342.12 and 10,082.40

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Solution

The fourth proportional to 17,638.80, 24,342.12 and 10,082.40 is: 13,914.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.80 : 24,342.12 = 10,082.40 : x
  2. Step 2: Convert to fraction form
    17,638.80/24,342.12 = 10,082.40/x
  3. Step 3: Cross multiply
    17,638.80x = 24,342.12 × 10,082.40
  4. Step 4: Simplify right side
    17,638.80x = 245,426,990.69
  5. Step 5: Solve for x
    x = 245,426,990.69/17,638.80
  6. Step 6: Final answer
    x = 13,914.04

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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.