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Finding the Fourth Proportional to 12,314.53, 18,471.80 and 4,523.34

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Solution

The fourth proportional to 12,314.53, 18,471.80 and 4,523.34 is: 6,785.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.53 : 18,471.80 = 4,523.34 : x
  2. Step 2: Convert to fraction form
    12,314.53/18,471.80 = 4,523.34/x
  3. Step 3: Cross multiply
    12,314.53x = 18,471.80 × 4,523.34
  4. Step 4: Simplify right side
    12,314.53x = 83,554,286.95
  5. Step 5: Solve for x
    x = 83,554,286.95/12,314.53
  6. Step 6: Final answer
    x = 6,785.02

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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.