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Finding the Fourth Proportional to 16,211.89, 22,371.54 and 9,042.54

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Solution

The fourth proportional to 16,211.89, 22,371.54 and 9,042.54 is: 12,478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,211.89 : 22,371.54 = 9,042.54 : x
  2. Step 2: Convert to fraction form
    16,211.89/22,371.54 = 9,042.54/x
  3. Step 3: Cross multiply
    16,211.89x = 22,371.54 × 9,042.54
  4. Step 4: Simplify right side
    16,211.89x = 202,295,545.31
  5. Step 5: Solve for x
    x = 202,295,545.31/16,211.89
  6. Step 6: Final answer
    x = 12,478.22

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1.5x scale

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.