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Finding the Fourth Proportional to 18,448, 27,671.72 and 8,581.76

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Solution

The fourth proportional to 18,448, 27,671.72 and 8,581.76 is: 12,872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,448 : 27,671.72 = 8,581.76 : x
  2. Step 2: Convert to fraction form
    18,448/27,671.72 = 8,581.76/x
  3. Step 3: Cross multiply
    18,448x = 27,671.72 × 8,581.76
  4. Step 4: Simplify right side
    18,448x = 237,472,059.83
  5. Step 5: Solve for x
    x = 237,472,059.83/18,448
  6. Step 6: Final answer
    x = 12,872.51

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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.