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Finding the Fourth Proportional to 12,241, 18,348.84 and 4,842.44

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Solution

The fourth proportional to 12,241, 18,348.84 and 4,842.44 is: 7,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241 : 18,348.84 = 4,842.44 : x
  2. Step 2: Convert to fraction form
    12,241/18,348.84 = 4,842.44/x
  3. Step 3: Cross multiply
    12,241x = 18,348.84 × 4,842.44
  4. Step 4: Simplify right side
    12,241x = 88,853,156.77
  5. Step 5: Solve for x
    x = 88,853,156.77/12,241
  6. Step 6: Final answer
    x = 7,258.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.