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Finding the Fourth Proportional to 13,223.39, 18,247.82 and 7,254.90

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Solution

The fourth proportional to 13,223.39, 18,247.82 and 7,254.90 is: 10,011.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.39 : 18,247.82 = 7,254.90 : x
  2. Step 2: Convert to fraction form
    13,223.39/18,247.82 = 7,254.90/x
  3. Step 3: Cross multiply
    13,223.39x = 18,247.82 × 7,254.90
  4. Step 4: Simplify right side
    13,223.39x = 132,386,073.04
  5. Step 5: Solve for x
    x = 132,386,073.04/13,223.39
  6. Step 6: Final answer
    x = 10,011.51

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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.