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Finding the Fourth Proportional to 17,646.93, 24,353.42 and 9,689.90

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Solution

The fourth proportional to 17,646.93, 24,353.42 and 9,689.90 is: 13,372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.93 : 24,353.42 = 9,689.90 : x
  2. Step 2: Convert to fraction form
    17,646.93/24,353.42 = 9,689.90/x
  3. Step 3: Cross multiply
    17,646.93x = 24,353.42 × 9,689.90
  4. Step 4: Simplify right side
    17,646.93x = 235,982,034.24
  5. Step 5: Solve for x
    x = 235,982,034.24/17,646.93
  6. Step 6: Final answer
    x = 13,372.41

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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.