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Finding the Fourth Proportional to 12,122.97, 16,725.80 and 7,341.38

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Solution

The fourth proportional to 12,122.97, 16,725.80 and 7,341.38 is: 10,128.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.97 : 16,725.80 = 7,341.38 : x
  2. Step 2: Convert to fraction form
    12,122.97/16,725.80 = 7,341.38/x
  3. Step 3: Cross multiply
    12,122.97x = 16,725.80 × 7,341.38
  4. Step 4: Simplify right side
    12,122.97x = 122,790,555.46
  5. Step 5: Solve for x
    x = 122,790,555.46/12,122.97
  6. Step 6: Final answer
    x = 10,128.76

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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.