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Finding the Fourth Proportional to 12,204.48, 18,281.16 and 7,799.52

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Solution

The fourth proportional to 12,204.48, 18,281.16 and 7,799.52 is: 11,682.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.48 : 18,281.16 = 7,799.52 : x
  2. Step 2: Convert to fraction form
    12,204.48/18,281.16 = 7,799.52/x
  3. Step 3: Cross multiply
    12,204.48x = 18,281.16 × 7,799.52
  4. Step 4: Simplify right side
    12,204.48x = 142,584,273.04
  5. Step 5: Solve for x
    x = 142,584,273.04/12,204.48
  6. Step 6: Final answer
    x = 11,682.95

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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.