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Finding the Fourth Proportional to 17,687.52, 24,398.64 and 11,052

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Solution

The fourth proportional to 17,687.52, 24,398.64 and 11,052 is: 15,245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.52 : 24,398.64 = 11,052 : x
  2. Step 2: Convert to fraction form
    17,687.52/24,398.64 = 11,052/x
  3. Step 3: Cross multiply
    17,687.52x = 24,398.64 × 11,052
  4. Step 4: Simplify right side
    17,687.52x = 269,653,769.28
  5. Step 5: Solve for x
    x = 269,653,769.28/17,687.52
  6. Step 6: Final answer
    x = 15,245.43

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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.