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Finding the Fourth Proportional to 12,434.40, 18,648.92 and 4,112.44

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Solution

The fourth proportional to 12,434.40, 18,648.92 and 4,112.44 is: 6,167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.40 : 18,648.92 = 4,112.44 : x
  2. Step 2: Convert to fraction form
    12,434.40/18,648.92 = 4,112.44/x
  3. Step 3: Cross multiply
    12,434.40x = 18,648.92 × 4,112.44
  4. Step 4: Simplify right side
    12,434.40x = 76,692,564.56
  5. Step 5: Solve for x
    x = 76,692,564.56/12,434.40
  6. Step 6: Final answer
    x = 6,167.77

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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.