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Finding the Fourth Proportional to 12,739.26, 17,581.98 and 7,434.30

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Solution

The fourth proportional to 12,739.26, 17,581.98 and 7,434.30 is: 10,260.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,739.26 : 17,581.98 = 7,434.30 : x
  2. Step 2: Convert to fraction form
    12,739.26/17,581.98 = 7,434.30/x
  3. Step 3: Cross multiply
    12,739.26x = 17,581.98 × 7,434.30
  4. Step 4: Simplify right side
    12,739.26x = 130,709,713.91
  5. Step 5: Solve for x
    x = 130,709,713.91/12,739.26
  6. Step 6: Final answer
    x = 10,260.39

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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.