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Finding the Fourth Proportional to 20,527.29, 30,778.56 and 8,032.41

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Solution

The fourth proportional to 20,527.29, 30,778.56 and 8,032.41 is: 12,043.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,527.29 : 30,778.56 = 8,032.41 : x
  2. Step 2: Convert to fraction form
    20,527.29/30,778.56 = 8,032.41/x
  3. Step 3: Cross multiply
    20,527.29x = 30,778.56 × 8,032.41
  4. Step 4: Simplify right side
    20,527.29x = 247,226,013.13
  5. Step 5: Solve for x
    x = 247,226,013.13/20,527.29
  6. Step 6: Final answer
    x = 12,043.77

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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.