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Finding the Fourth Proportional to 20,231.76, 30,347.58 and 5,440.68

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Solution

The fourth proportional to 20,231.76, 30,347.58 and 5,440.68 is: 8,161.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,231.76 : 30,347.58 = 5,440.68 : x
  2. Step 2: Convert to fraction form
    20,231.76/30,347.58 = 5,440.68/x
  3. Step 3: Cross multiply
    20,231.76x = 30,347.58 × 5,440.68
  4. Step 4: Simplify right side
    20,231.76x = 165,111,471.55
  5. Step 5: Solve for x
    x = 165,111,471.55/20,231.76
  6. Step 6: Final answer
    x = 8,161.00

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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.