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Finding the Fourth Proportional to 13,221.68, 18,245.84 and 7,253.21

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Solution

The fourth proportional to 13,221.68, 18,245.84 and 7,253.21 is: 10,009.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,221.68 : 18,245.84 = 7,253.21 : x
  2. Step 2: Convert to fraction form
    13,221.68/18,245.84 = 7,253.21/x
  3. Step 3: Cross multiply
    13,221.68x = 18,245.84 × 7,253.21
  4. Step 4: Simplify right side
    13,221.68x = 132,340,918.49
  5. Step 5: Solve for x
    x = 132,340,918.49/13,221.68
  6. Step 6: Final answer
    x = 10,009.39

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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.