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Finding the Fourth Proportional to 20,401.20, 30,602.84 and 5,609.76

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Solution

The fourth proportional to 20,401.20, 30,602.84 and 5,609.76 is: 8,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,401.20 : 30,602.84 = 5,609.76 : x
  2. Step 2: Convert to fraction form
    20,401.20/30,602.84 = 5,609.76/x
  3. Step 3: Cross multiply
    20,401.20x = 30,602.84 × 5,609.76
  4. Step 4: Simplify right side
    20,401.20x = 171,674,587.72
  5. Step 5: Solve for x
    x = 171,674,587.72/20,401.20
  6. Step 6: Final answer
    x = 8,414.93

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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.