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Finding the Fourth Proportional to 12,471.24, 18,711.99 and 9,156.42

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Solution

The fourth proportional to 12,471.24, 18,711.99 and 9,156.42 is: 13,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.24 : 18,711.99 = 9,156.42 : x
  2. Step 2: Convert to fraction form
    12,471.24/18,711.99 = 9,156.42/x
  3. Step 3: Cross multiply
    12,471.24x = 18,711.99 × 9,156.42
  4. Step 4: Simplify right side
    12,471.24x = 171,334,769.31
  5. Step 5: Solve for x
    x = 171,334,769.31/12,471.24
  6. Step 6: Final answer
    x = 13,738.39

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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.