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Finding the Fourth Proportional to 18,471.52, 27,707.42 and 7,381

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Solution

The fourth proportional to 18,471.52, 27,707.42 and 7,381 is: 11,071.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,471.52 : 27,707.42 = 7,381 : x
  2. Step 2: Convert to fraction form
    18,471.52/27,707.42 = 7,381/x
  3. Step 3: Cross multiply
    18,471.52x = 27,707.42 × 7,381
  4. Step 4: Simplify right side
    18,471.52x = 204,508,467.02
  5. Step 5: Solve for x
    x = 204,508,467.02/18,471.52
  6. Step 6: Final answer
    x = 11,071.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.