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Finding the Fourth Proportional to 13,219.14, 18,242.88 and 7,250.82

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Solution

The fourth proportional to 13,219.14, 18,242.88 and 7,250.82 is: 10,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.14 : 18,242.88 = 7,250.82 : x
  2. Step 2: Convert to fraction form
    13,219.14/18,242.88 = 7,250.82/x
  3. Step 3: Cross multiply
    13,219.14x = 18,242.88 × 7,250.82
  4. Step 4: Simplify right side
    13,219.14x = 132,275,839.16
  5. Step 5: Solve for x
    x = 132,275,839.16/13,219.14
  6. Step 6: Final answer
    x = 10,006.39

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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.