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Finding the Fourth Proportional to 18,126.72, 27,193.93 and 5,646.44

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Solution

The fourth proportional to 18,126.72, 27,193.93 and 5,646.44 is: 8,470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,126.72 : 27,193.93 = 5,646.44 : x
  2. Step 2: Convert to fraction form
    18,126.72/27,193.93 = 5,646.44/x
  3. Step 3: Cross multiply
    18,126.72x = 27,193.93 × 5,646.44
  4. Step 4: Simplify right side
    18,126.72x = 153,548,947.98
  5. Step 5: Solve for x
    x = 153,548,947.98/18,126.72
  6. Step 6: Final answer
    x = 8,470.86

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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.