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Finding the Fourth Proportional to 20,470.84, 30,705.90 and 5,678.08

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Solution

The fourth proportional to 20,470.84, 30,705.90 and 5,678.08 is: 8,517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,470.84 : 30,705.90 = 5,678.08 : x
  2. Step 2: Convert to fraction form
    20,470.84/30,705.90 = 5,678.08/x
  3. Step 3: Cross multiply
    20,470.84x = 30,705.90 × 5,678.08
  4. Step 4: Simplify right side
    20,470.84x = 174,350,556.67
  5. Step 5: Solve for x
    x = 174,350,556.67/20,470.84
  6. Step 6: Final answer
    x = 8,517.02

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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.