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Finding the Fourth Proportional to 20,261.68, 30,392.52 and 5,470.58

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Solution

The fourth proportional to 20,261.68, 30,392.52 and 5,470.58 is: 8,205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,261.68 : 30,392.52 = 5,470.58 : x
  2. Step 2: Convert to fraction form
    20,261.68/30,392.52 = 5,470.58/x
  3. Step 3: Cross multiply
    20,261.68x = 30,392.52 × 5,470.58
  4. Step 4: Simplify right side
    20,261.68x = 166,264,712.06
  5. Step 5: Solve for x
    x = 166,264,712.06/20,261.68
  6. Step 6: Final answer
    x = 8,205.87

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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.