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Finding the Fourth Proportional to 17,519.64, 24,177.09 and 11,232

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Solution

The fourth proportional to 17,519.64, 24,177.09 and 11,232 is: 15,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,519.64 : 24,177.09 = 11,232 : x
  2. Step 2: Convert to fraction form
    17,519.64/24,177.09 = 11,232/x
  3. Step 3: Cross multiply
    17,519.64x = 24,177.09 × 11,232
  4. Step 4: Simplify right side
    17,519.64x = 271,557,074.88
  5. Step 5: Solve for x
    x = 271,557,074.88/17,519.64
  6. Step 6: Final answer
    x = 15,500.15

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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.