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Finding the Fourth Proportional to 17,452.50, 24,089.40 and 10,286.58

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Solution

The fourth proportional to 17,452.50, 24,089.40 and 10,286.58 is: 14,198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,452.50 : 24,089.40 = 10,286.58 : x
  2. Step 2: Convert to fraction form
    17,452.50/24,089.40 = 10,286.58/x
  3. Step 3: Cross multiply
    17,452.50x = 24,089.40 × 10,286.58
  4. Step 4: Simplify right side
    17,452.50x = 247,797,368.37
  5. Step 5: Solve for x
    x = 247,797,368.37/17,452.50
  6. Step 6: Final answer
    x = 14,198.39

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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.