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Finding the Fourth Proportional to 13,218.57, 18,241.49 and 7,250.22

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Solution

The fourth proportional to 13,218.57, 18,241.49 and 7,250.22 is: 10,005.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,218.57 : 18,241.49 = 7,250.22 : x
  2. Step 2: Convert to fraction form
    13,218.57/18,241.49 = 7,250.22/x
  3. Step 3: Cross multiply
    13,218.57x = 18,241.49 × 7,250.22
  4. Step 4: Simplify right side
    13,218.57x = 132,254,779.38
  5. Step 5: Solve for x
    x = 132,254,779.38/13,218.57
  6. Step 6: Final answer
    x = 10,005.23

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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.