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Finding the Fourth Proportional to 20,609.70, 30,915.45 and 6,758.70

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Solution

The fourth proportional to 20,609.70, 30,915.45 and 6,758.70 is: 10,138.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,609.70 : 30,915.45 = 6,758.70 : x
  2. Step 2: Convert to fraction form
    20,609.70/30,915.45 = 6,758.70/x
  3. Step 3: Cross multiply
    20,609.70x = 30,915.45 × 6,758.70
  4. Step 4: Simplify right side
    20,609.70x = 208,948,251.92
  5. Step 5: Solve for x
    x = 208,948,251.92/20,609.70
  6. Step 6: Final answer
    x = 10,138.35

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