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Finding the Fourth Proportional to 13,229.31, 18,256.38 and 7,261.08

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Solution

The fourth proportional to 13,229.31, 18,256.38 and 7,261.08 is: 10,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.31 : 18,256.38 = 7,261.08 : x
  2. Step 2: Convert to fraction form
    13,229.31/18,256.38 = 7,261.08/x
  3. Step 3: Cross multiply
    13,229.31x = 18,256.38 × 7,261.08
  4. Step 4: Simplify right side
    13,229.31x = 132,561,035.69
  5. Step 5: Solve for x
    x = 132,561,035.69/13,229.31
  6. Step 6: Final answer
    x = 10,020.25

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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.