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Finding the Fourth Proportional to 13,452.10, 18,562.22 and 7,483

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Solution

The fourth proportional to 13,452.10, 18,562.22 and 7,483 is: 10,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,452.10 : 18,562.22 = 7,483 : x
  2. Step 2: Convert to fraction form
    13,452.10/18,562.22 = 7,483/x
  3. Step 3: Cross multiply
    13,452.10x = 18,562.22 × 7,483
  4. Step 4: Simplify right side
    13,452.10x = 138,901,092.26
  5. Step 5: Solve for x
    x = 138,901,092.26/13,452.10
  6. Step 6: Final answer
    x = 10,325.61

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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.