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Finding the Fourth Proportional to 17,646.80, 24,352.65 and 9,689.18

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Solution

The fourth proportional to 17,646.80, 24,352.65 and 9,689.18 is: 13,371.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.80 : 24,352.65 = 9,689.18 : x
  2. Step 2: Convert to fraction form
    17,646.80/24,352.65 = 9,689.18/x
  3. Step 3: Cross multiply
    17,646.80x = 24,352.65 × 9,689.18
  4. Step 4: Simplify right side
    17,646.80x = 235,957,087.56
  5. Step 5: Solve for x
    x = 235,957,087.56/17,646.80
  6. Step 6: Final answer
    x = 13,371.10

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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.