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Finding the Fourth Proportional to 20,192.42, 30,283.92 and 7,707.86

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Solution

The fourth proportional to 20,192.42, 30,283.92 and 7,707.86 is: 11,559.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,192.42 : 30,283.92 = 7,707.86 : x
  2. Step 2: Convert to fraction form
    20,192.42/30,283.92 = 7,707.86/x
  3. Step 3: Cross multiply
    20,192.42x = 30,283.92 × 7,707.86
  4. Step 4: Simplify right side
    20,192.42x = 233,424,215.61
  5. Step 5: Solve for x
    x = 233,424,215.61/20,192.42
  6. Step 6: Final answer
    x = 11,559.99

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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.