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Finding the Fourth Proportional to 13,013.92, 17,959.21 and 7,045.59

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Solution

The fourth proportional to 13,013.92, 17,959.21 and 7,045.59 is: 9,722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.92 : 17,959.21 = 7,045.59 : x
  2. Step 2: Convert to fraction form
    13,013.92/17,959.21 = 7,045.59/x
  3. Step 3: Cross multiply
    13,013.92x = 17,959.21 × 7,045.59
  4. Step 4: Simplify right side
    13,013.92x = 126,533,230.38
  5. Step 5: Solve for x
    x = 126,533,230.38/13,013.92
  6. Step 6: Final answer
    x = 9,722.91

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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.