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Finding the Fourth Proportional to 16,227.57, 22,394.05 and 9,154

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Solution

The fourth proportional to 16,227.57, 22,394.05 and 9,154 is: 12,632.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,227.57 : 22,394.05 = 9,154 : x
  2. Step 2: Convert to fraction form
    16,227.57/22,394.05 = 9,154/x
  3. Step 3: Cross multiply
    16,227.57x = 22,394.05 × 9,154
  4. Step 4: Simplify right side
    16,227.57x = 204,995,133.70
  5. Step 5: Solve for x
    x = 204,995,133.70/16,227.57
  6. Step 6: Final answer
    x = 12,632.52

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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.