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Finding the Fourth Proportional to 12,417.38, 18,634.27 and 5,845.44

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Solution

The fourth proportional to 12,417.38, 18,634.27 and 5,845.44 is: 8,772.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.38 : 18,634.27 = 5,845.44 : x
  2. Step 2: Convert to fraction form
    12,417.38/18,634.27 = 5,845.44/x
  3. Step 3: Cross multiply
    12,417.38x = 18,634.27 × 5,845.44
  4. Step 4: Simplify right side
    12,417.38x = 108,925,507.23
  5. Step 5: Solve for x
    x = 108,925,507.23/12,417.38
  6. Step 6: Final answer
    x = 8,772.02

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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.