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Finding the Fourth Proportional to 12,314.30, 18,478.94 and 4,523.72

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Solution

The fourth proportional to 12,314.30, 18,478.94 and 4,523.72 is: 6,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.30 : 18,478.94 = 4,523.72 : x
  2. Step 2: Convert to fraction form
    12,314.30/18,478.94 = 4,523.72/x
  3. Step 3: Cross multiply
    12,314.30x = 18,478.94 × 4,523.72
  4. Step 4: Simplify right side
    12,314.30x = 83,593,435.44
  5. Step 5: Solve for x
    x = 83,593,435.44/12,314.30
  6. Step 6: Final answer
    x = 6,788.32

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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.