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Finding the Fourth Proportional to 13,642.39, 20,464.46 and 4,282.78

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Solution

The fourth proportional to 13,642.39, 20,464.46 and 4,282.78 is: 6,424.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.39 : 20,464.46 = 4,282.78 : x
  2. Step 2: Convert to fraction form
    13,642.39/20,464.46 = 4,282.78/x
  3. Step 3: Cross multiply
    13,642.39x = 20,464.46 × 4,282.78
  4. Step 4: Simplify right side
    13,642.39x = 87,644,780.00
  5. Step 5: Solve for x
    x = 87,644,780.00/13,642.39
  6. Step 6: Final answer
    x = 6,424.44

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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.