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Finding the Fourth Proportional to 20,206.42, 30,304.92 and 7,721.86

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Solution

The fourth proportional to 20,206.42, 30,304.92 and 7,721.86 is: 11,580.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.42 : 30,304.92 = 7,721.86 : x
  2. Step 2: Convert to fraction form
    20,206.42/30,304.92 = 7,721.86/x
  3. Step 3: Cross multiply
    20,206.42x = 30,304.92 × 7,721.86
  4. Step 4: Simplify right side
    20,206.42x = 234,010,349.55
  5. Step 5: Solve for x
    x = 234,010,349.55/20,206.42
  6. Step 6: Final answer
    x = 11,580.99

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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.