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Finding the Fourth Proportional to 18,175.32, 27,259.74 and 8,314.92

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Solution

The fourth proportional to 18,175.32, 27,259.74 and 8,314.92 is: 12,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,175.32 : 27,259.74 = 8,314.92 : x
  2. Step 2: Convert to fraction form
    18,175.32/27,259.74 = 8,314.92/x
  3. Step 3: Cross multiply
    18,175.32x = 27,259.74 × 8,314.92
  4. Step 4: Simplify right side
    18,175.32x = 226,662,557.32
  5. Step 5: Solve for x
    x = 226,662,557.32/18,175.32
  6. Step 6: Final answer
    x = 12,470.90

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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.