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Finding the Fourth Proportional to 17,662.52, 24,364.14 and 11,027

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Solution

The fourth proportional to 17,662.52, 24,364.14 and 11,027 is: 15,210.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662.52 : 24,364.14 = 11,027 : x
  2. Step 2: Convert to fraction form
    17,662.52/24,364.14 = 11,027/x
  3. Step 3: Cross multiply
    17,662.52x = 24,364.14 × 11,027
  4. Step 4: Simplify right side
    17,662.52x = 268,663,371.78
  5. Step 5: Solve for x
    x = 268,663,371.78/17,662.52
  6. Step 6: Final answer
    x = 15,210.93

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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.