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Finding the Fourth Proportional to 20,314.20, 30,456.90 and 7,829.40

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Solution

The fourth proportional to 20,314.20, 30,456.90 and 7,829.40 is: 11,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,314.20 : 30,456.90 = 7,829.40 : x
  2. Step 2: Convert to fraction form
    20,314.20/30,456.90 = 7,829.40/x
  3. Step 3: Cross multiply
    20,314.20x = 30,456.90 × 7,829.40
  4. Step 4: Simplify right side
    20,314.20x = 238,459,252.86
  5. Step 5: Solve for x
    x = 238,459,252.86/20,314.20
  6. Step 6: Final answer
    x = 11,738.55

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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.