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Finding the Fourth Proportional to 20,252.59, 30,378.70 and 6,401.59

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Solution

The fourth proportional to 20,252.59, 30,378.70 and 6,401.59 is: 9,602.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,252.59 : 30,378.70 = 6,401.59 : x
  2. Step 2: Convert to fraction form
    20,252.59/30,378.70 = 6,401.59/x
  3. Step 3: Cross multiply
    20,252.59x = 30,378.70 × 6,401.59
  4. Step 4: Simplify right side
    20,252.59x = 194,471,982.13
  5. Step 5: Solve for x
    x = 194,471,982.13/20,252.59
  6. Step 6: Final answer
    x = 9,602.33

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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.