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Finding the Fourth Proportional to 18,149.47, 27,227.64 and 6,302.78

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Solution

The fourth proportional to 18,149.47, 27,227.64 and 6,302.78 is: 9,455.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,149.47 : 27,227.64 = 6,302.78 : x
  2. Step 2: Convert to fraction form
    18,149.47/27,227.64 = 6,302.78/x
  3. Step 3: Cross multiply
    18,149.47x = 27,227.64 × 6,302.78
  4. Step 4: Simplify right side
    18,149.47x = 171,609,824.84
  5. Step 5: Solve for x
    x = 171,609,824.84/18,149.47
  6. Step 6: Final answer
    x = 9,455.36

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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.