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Finding the Fourth Proportional to 18,471.68, 25,471.52 and 12,176

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Solution

The fourth proportional to 18,471.68, 25,471.52 and 12,176 is: 16,790.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,471.68 : 25,471.52 = 12,176 : x
  2. Step 2: Convert to fraction form
    18,471.68/25,471.52 = 12,176/x
  3. Step 3: Cross multiply
    18,471.68x = 25,471.52 × 12,176
  4. Step 4: Simplify right side
    18,471.68x = 310,141,227.52
  5. Step 5: Solve for x
    x = 310,141,227.52/18,471.68
  6. Step 6: Final answer
    x = 16,790.09

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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.