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Finding the Fourth Proportional to 16,470.54, 22,722.12 and 9,394.38

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Solution

The fourth proportional to 16,470.54, 22,722.12 and 9,394.38 is: 12,960.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.54 : 22,722.12 = 9,394.38 : x
  2. Step 2: Convert to fraction form
    16,470.54/22,722.12 = 9,394.38/x
  3. Step 3: Cross multiply
    16,470.54x = 22,722.12 × 9,394.38
  4. Step 4: Simplify right side
    16,470.54x = 213,460,229.69
  5. Step 5: Solve for x
    x = 213,460,229.69/16,470.54
  6. Step 6: Final answer
    x = 12,960.12

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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.