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Finding the Fourth Proportional to 20,869.60, 31,377.30 and 20,432.20

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Solution

The fourth proportional to 20,869.60, 31,377.30 and 20,432.20 is: 30,719.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,869.60 : 31,377.30 = 20,432.20 : x
  2. Step 2: Convert to fraction form
    20,869.60/31,377.30 = 20,432.20/x
  3. Step 3: Cross multiply
    20,869.60x = 31,377.30 × 20,432.20
  4. Step 4: Simplify right side
    20,869.60x = 641,107,269.06
  5. Step 5: Solve for x
    x = 641,107,269.06/20,869.60
  6. Step 6: Final answer
    x = 30,719.67

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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.