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Finding the Fourth Proportional to 12,798.22, 17,661.91 and 7,493.26

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Solution

The fourth proportional to 12,798.22, 17,661.91 and 7,493.26 is: 10,340.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798.22 : 17,661.91 = 7,493.26 : x
  2. Step 2: Convert to fraction form
    12,798.22/17,661.91 = 7,493.26/x
  3. Step 3: Cross multiply
    12,798.22x = 17,661.91 × 7,493.26
  4. Step 4: Simplify right side
    12,798.22x = 132,345,246.26
  5. Step 5: Solve for x
    x = 132,345,246.26/12,798.22
  6. Step 6: Final answer
    x = 10,340.91

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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.