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Finding the Fourth Proportional to 15,249.32, 22,855.14 and 9,003

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Solution

The fourth proportional to 15,249.32, 22,855.14 and 9,003 is: 13,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,249.32 : 22,855.14 = 9,003 : x
  2. Step 2: Convert to fraction form
    15,249.32/22,855.14 = 9,003/x
  3. Step 3: Cross multiply
    15,249.32x = 22,855.14 × 9,003
  4. Step 4: Simplify right side
    15,249.32x = 205,764,825.42
  5. Step 5: Solve for x
    x = 205,764,825.42/15,249.32
  6. Step 6: Final answer
    x = 13,493.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.