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Finding the Fourth Proportional to 17,638.34, 24,340.10 and 9,680.40

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Solution

The fourth proportional to 17,638.34, 24,340.10 and 9,680.40 is: 13,358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.34 : 24,340.10 = 9,680.40 : x
  2. Step 2: Convert to fraction form
    17,638.34/24,340.10 = 9,680.40/x
  3. Step 3: Cross multiply
    17,638.34x = 24,340.10 × 9,680.40
  4. Step 4: Simplify right side
    17,638.34x = 235,621,904.04
  5. Step 5: Solve for x
    x = 235,621,904.04/17,638.34
  6. Step 6: Final answer
    x = 13,358.51

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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.