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Finding the Fourth Proportional to 20,139.40, 30,199.38 and 8,449.48

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Solution

The fourth proportional to 20,139.40, 30,199.38 and 8,449.48 is: 12,670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,139.40 : 30,199.38 = 8,449.48 : x
  2. Step 2: Convert to fraction form
    20,139.40/30,199.38 = 8,449.48/x
  3. Step 3: Cross multiply
    20,139.40x = 30,199.38 × 8,449.48
  4. Step 4: Simplify right side
    20,139.40x = 255,169,057.32
  5. Step 5: Solve for x
    x = 255,169,057.32/20,139.40
  6. Step 6: Final answer
    x = 12,670.14

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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.