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Finding the Fourth Proportional to 20,397.66, 30,597.12 and 6,358.20

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Solution

The fourth proportional to 20,397.66, 30,597.12 and 6,358.20 is: 9,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,397.66 : 30,597.12 = 6,358.20 : x
  2. Step 2: Convert to fraction form
    20,397.66/30,597.12 = 6,358.20/x
  3. Step 3: Cross multiply
    20,397.66x = 30,597.12 × 6,358.20
  4. Step 4: Simplify right side
    20,397.66x = 194,542,608.38
  5. Step 5: Solve for x
    x = 194,542,608.38/20,397.66
  6. Step 6: Final answer
    x = 9,537.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.