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Finding the Fourth Proportional to 20,195.65, 30,294.98 and 6,156.89

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Solution

The fourth proportional to 20,195.65, 30,294.98 and 6,156.89 is: 9,235.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,195.65 : 30,294.98 = 6,156.89 : x
  2. Step 2: Convert to fraction form
    20,195.65/30,294.98 = 6,156.89/x
  3. Step 3: Cross multiply
    20,195.65x = 30,294.98 × 6,156.89
  4. Step 4: Simplify right side
    20,195.65x = 186,522,859.41
  5. Step 5: Solve for x
    x = 186,522,859.41/20,195.65
  6. Step 6: Final answer
    x = 9,235.79

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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.