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Finding the Fourth Proportional to 17,638.40, 24,340.97 and 9,680.64

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Solution

The fourth proportional to 17,638.40, 24,340.97 and 9,680.64 is: 13,359.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.40 : 24,340.97 = 9,680.64 : x
  2. Step 2: Convert to fraction form
    17,638.40/24,340.97 = 9,680.64/x
  3. Step 3: Cross multiply
    17,638.40x = 24,340.97 × 9,680.64
  4. Step 4: Simplify right side
    17,638.40x = 235,636,204.47
  5. Step 5: Solve for x
    x = 235,636,204.47/17,638.40
  6. Step 6: Final answer
    x = 13,359.28

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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.