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Finding the Fourth Proportional to 12,467.31, 18,701.21 and 4,147.40

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Solution

The fourth proportional to 12,467.31, 18,701.21 and 4,147.40 is: 6,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.31 : 18,701.21 = 4,147.40 : x
  2. Step 2: Convert to fraction form
    12,467.31/18,701.21 = 4,147.40/x
  3. Step 3: Cross multiply
    12,467.31x = 18,701.21 × 4,147.40
  4. Step 4: Simplify right side
    12,467.31x = 77,561,315.22
  5. Step 5: Solve for x
    x = 77,561,315.22/12,467.31
  6. Step 6: Final answer
    x = 6,221.17

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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.