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Finding the Fourth Proportional to 28,209.48, 42,321.90 and 9,744.20

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Solution

The fourth proportional to 28,209.48, 42,321.90 and 9,744.20 is: 14,618.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,209.48 : 42,321.90 = 9,744.20 : x
  2. Step 2: Convert to fraction form
    28,209.48/42,321.90 = 9,744.20/x
  3. Step 3: Cross multiply
    28,209.48x = 42,321.90 × 9,744.20
  4. Step 4: Simplify right side
    28,209.48x = 412,393,057.98
  5. Step 5: Solve for x
    x = 412,393,057.98/28,209.48
  6. Step 6: Final answer
    x = 14,618.95

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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.