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Finding the Fourth Proportional to 34,309.40, 51,464.10 and 12,147.80

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Solution

The fourth proportional to 34,309.40, 51,464.10 and 12,147.80 is: 18,221.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,309.40 : 51,464.10 = 12,147.80 : x
  2. Step 2: Convert to fraction form
    34,309.40/51,464.10 = 12,147.80/x
  3. Step 3: Cross multiply
    34,309.40x = 51,464.10 × 12,147.80
  4. Step 4: Simplify right side
    34,309.40x = 625,175,593.98
  5. Step 5: Solve for x
    x = 625,175,593.98/34,309.40
  6. Step 6: Final answer
    x = 18,221.70

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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.