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Finding the Fourth Proportional to 12,314.90, 18,470.52 and 3,429.30

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Solution

The fourth proportional to 12,314.90, 18,470.52 and 3,429.30 is: 5,143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.90 : 18,470.52 = 3,429.30 : x
  2. Step 2: Convert to fraction form
    12,314.90/18,470.52 = 3,429.30/x
  3. Step 3: Cross multiply
    12,314.90x = 18,470.52 × 3,429.30
  4. Step 4: Simplify right side
    12,314.90x = 63,340,954.24
  5. Step 5: Solve for x
    x = 63,340,954.24/12,314.90
  6. Step 6: Final answer
    x = 5,143.44

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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.