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Finding the Fourth Proportional to 22,425.81, 30,947.87 and 12,354.04

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Solution

The fourth proportional to 22,425.81, 30,947.87 and 12,354.04 is: 17,048.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,425.81 : 30,947.87 = 12,354.04 : x
  2. Step 2: Convert to fraction form
    22,425.81/30,947.87 = 12,354.04/x
  3. Step 3: Cross multiply
    22,425.81x = 30,947.87 × 12,354.04
  4. Step 4: Simplify right side
    22,425.81x = 382,331,119.38
  5. Step 5: Solve for x
    x = 382,331,119.38/22,425.81
  6. Step 6: Final answer
    x = 17,048.71

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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.