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Finding the Fourth Proportional to 18,142.52, 27,211.74 and 6,294.11

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Solution

The fourth proportional to 18,142.52, 27,211.74 and 6,294.11 is: 9,440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.52 : 27,211.74 = 6,294.11 : x
  2. Step 2: Convert to fraction form
    18,142.52/27,211.74 = 6,294.11/x
  3. Step 3: Cross multiply
    18,142.52x = 27,211.74 × 6,294.11
  4. Step 4: Simplify right side
    18,142.52x = 171,273,627.23
  5. Step 5: Solve for x
    x = 171,273,627.23/18,142.52
  6. Step 6: Final answer
    x = 9,440.45

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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.