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Finding the Fourth Proportional to 13,228.41, 18,255.56 and 7,260.29

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Solution

The fourth proportional to 13,228.41, 18,255.56 and 7,260.29 is: 10,019.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,228.41 : 18,255.56 = 7,260.29 : x
  2. Step 2: Convert to fraction form
    13,228.41/18,255.56 = 7,260.29/x
  3. Step 3: Cross multiply
    13,228.41x = 18,255.56 × 7,260.29
  4. Step 4: Simplify right side
    13,228.41x = 132,540,659.71
  5. Step 5: Solve for x
    x = 132,540,659.71/13,228.41
  6. Step 6: Final answer
    x = 10,019.39

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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.