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Finding the Fourth Proportional to 20,572.38, 30,859.78 and 5,782.46

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Solution

The fourth proportional to 20,572.38, 30,859.78 and 5,782.46 is: 8,674.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,572.38 : 30,859.78 = 5,782.46 : x
  2. Step 2: Convert to fraction form
    20,572.38/30,859.78 = 5,782.46/x
  3. Step 3: Cross multiply
    20,572.38x = 30,859.78 × 5,782.46
  4. Step 4: Simplify right side
    20,572.38x = 178,445,443.46
  5. Step 5: Solve for x
    x = 178,445,443.46/20,572.38
  6. Step 6: Final answer
    x = 8,674.03

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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.