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Finding the Fourth Proportional to 12,472.68, 18,694.44 and 6,924.72

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Solution

The fourth proportional to 12,472.68, 18,694.44 and 6,924.72 is: 10,378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.68 : 18,694.44 = 6,924.72 : x
  2. Step 2: Convert to fraction form
    12,472.68/18,694.44 = 6,924.72/x
  3. Step 3: Cross multiply
    12,472.68x = 18,694.44 × 6,924.72
  4. Step 4: Simplify right side
    12,472.68x = 129,453,762.56
  5. Step 5: Solve for x
    x = 129,453,762.56/12,472.68
  6. Step 6: Final answer
    x = 10,378.99

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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.