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Finding the Fourth Proportional to 20,215.20, 30,250.80 and 12,823.20

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Solution

The fourth proportional to 20,215.20, 30,250.80 and 12,823.20 is: 19,189.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,215.20 : 30,250.80 = 12,823.20 : x
  2. Step 2: Convert to fraction form
    20,215.20/30,250.80 = 12,823.20/x
  3. Step 3: Cross multiply
    20,215.20x = 30,250.80 × 12,823.20
  4. Step 4: Simplify right side
    20,215.20x = 387,912,058.56
  5. Step 5: Solve for x
    x = 387,912,058.56/20,215.20
  6. Step 6: Final answer
    x = 19,189.13

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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.