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Finding the Fourth Proportional to 20,482.41, 30,724.22 and 8,001.93

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Solution

The fourth proportional to 20,482.41, 30,724.22 and 8,001.93 is: 12,003.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,482.41 : 30,724.22 = 8,001.93 : x
  2. Step 2: Convert to fraction form
    20,482.41/30,724.22 = 8,001.93/x
  3. Step 3: Cross multiply
    20,482.41x = 30,724.22 × 8,001.93
  4. Step 4: Simplify right side
    20,482.41x = 245,853,057.74
  5. Step 5: Solve for x
    x = 245,853,057.74/20,482.41
  6. Step 6: Final answer
    x = 12,003.13

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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.