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Finding the Fourth Proportional to 20,209.60, 30,328.80 and 8,531.20

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Solution

The fourth proportional to 20,209.60, 30,328.80 and 8,531.20 is: 12,802.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,209.60 : 30,328.80 = 8,531.20 : x
  2. Step 2: Convert to fraction form
    20,209.60/30,328.80 = 8,531.20/x
  3. Step 3: Cross multiply
    20,209.60x = 30,328.80 × 8,531.20
  4. Step 4: Simplify right side
    20,209.60x = 258,741,058.56
  5. Step 5: Solve for x
    x = 258,741,058.56/20,209.60
  6. Step 6: Final answer
    x = 12,802.88

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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.