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Finding the Fourth Proportional to 12,278.20, 18,438.36 and 11,724.16

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Solution

The fourth proportional to 12,278.20, 18,438.36 and 11,724.16 is: 17,606.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278.20 : 18,438.36 = 11,724.16 : x
  2. Step 2: Convert to fraction form
    12,278.20/18,438.36 = 11,724.16/x
  3. Step 3: Cross multiply
    12,278.20x = 18,438.36 × 11,724.16
  4. Step 4: Simplify right side
    12,278.20x = 216,174,282.78
  5. Step 5: Solve for x
    x = 216,174,282.78/12,278.20
  6. Step 6: Final answer
    x = 17,606.35

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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.