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Finding the Fourth Proportional to 17,638.01, 24,340.46 and 9,680.68

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Solution

The fourth proportional to 17,638.01, 24,340.46 and 9,680.68 is: 13,359.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.01 : 24,340.46 = 9,680.68 : x
  2. Step 2: Convert to fraction form
    17,638.01/24,340.46 = 9,680.68/x
  3. Step 3: Cross multiply
    17,638.01x = 24,340.46 × 9,680.68
  4. Step 4: Simplify right side
    17,638.01x = 235,632,204.31
  5. Step 5: Solve for x
    x = 235,632,204.31/17,638.01
  6. Step 6: Final answer
    x = 13,359.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.