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Finding the Fourth Proportional to 18,214.50, 27,326.06 and 5,734.53

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Solution

The fourth proportional to 18,214.50, 27,326.06 and 5,734.53 is: 8,603.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214.50 : 27,326.06 = 5,734.53 : x
  2. Step 2: Convert to fraction form
    18,214.50/27,326.06 = 5,734.53/x
  3. Step 3: Cross multiply
    18,214.50x = 27,326.06 × 5,734.53
  4. Step 4: Simplify right side
    18,214.50x = 156,702,110.85
  5. Step 5: Solve for x
    x = 156,702,110.85/18,214.50
  6. Step 6: Final answer
    x = 8,603.15

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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.