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Finding the Fourth Proportional to 18,002.40, 26,993.76 and 6,314.56

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Solution

The fourth proportional to 18,002.40, 26,993.76 and 6,314.56 is: 9,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,002.40 : 26,993.76 = 6,314.56 : x
  2. Step 2: Convert to fraction form
    18,002.40/26,993.76 = 6,314.56/x
  3. Step 3: Cross multiply
    18,002.40x = 26,993.76 × 6,314.56
  4. Step 4: Simplify right side
    18,002.40x = 170,453,717.15
  5. Step 5: Solve for x
    x = 170,453,717.15/18,002.40
  6. Step 6: Final answer
    x = 9,468.39

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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.