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Finding the Fourth Proportional to 12,952.20, 19,418.22 and 6,709.80

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Solution

The fourth proportional to 12,952.20, 19,418.22 and 6,709.80 is: 10,059.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.20 : 19,418.22 = 6,709.80 : x
  2. Step 2: Convert to fraction form
    12,952.20/19,418.22 = 6,709.80/x
  3. Step 3: Cross multiply
    12,952.20x = 19,418.22 × 6,709.80
  4. Step 4: Simplify right side
    12,952.20x = 130,292,372.56
  5. Step 5: Solve for x
    x = 130,292,372.56/12,952.20
  6. Step 6: Final answer
    x = 10,059.48

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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.