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Finding the Fourth Proportional to 16,071.06, 22,179.78 and 8,998.14

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Solution

The fourth proportional to 16,071.06, 22,179.78 and 8,998.14 is: 12,418.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071.06 : 22,179.78 = 8,998.14 : x
  2. Step 2: Convert to fraction form
    16,071.06/22,179.78 = 8,998.14/x
  3. Step 3: Cross multiply
    16,071.06x = 22,179.78 × 8,998.14
  4. Step 4: Simplify right side
    16,071.06x = 199,576,765.61
  5. Step 5: Solve for x
    x = 199,576,765.61/16,071.06
  6. Step 6: Final answer
    x = 12,418.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.