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Finding the Fourth Proportional to 16,222.31, 22,386.35 and 9,149.39

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Solution

The fourth proportional to 16,222.31, 22,386.35 and 9,149.39 is: 12,625.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.31 : 22,386.35 = 9,149.39 : x
  2. Step 2: Convert to fraction form
    16,222.31/22,386.35 = 9,149.39/x
  3. Step 3: Cross multiply
    16,222.31x = 22,386.35 × 9,149.39
  4. Step 4: Simplify right side
    16,222.31x = 204,821,401.08
  5. Step 5: Solve for x
    x = 204,821,401.08/16,222.31
  6. Step 6: Final answer
    x = 12,625.91

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