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Finding the Fourth Proportional to 12,134.41, 18,198.88 and 7,916.23

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Solution

The fourth proportional to 12,134.41, 18,198.88 and 7,916.23 is: 11,872.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.41 : 18,198.88 = 7,916.23 : x
  2. Step 2: Convert to fraction form
    12,134.41/18,198.88 = 7,916.23/x
  3. Step 3: Cross multiply
    12,134.41x = 18,198.88 × 7,916.23
  4. Step 4: Simplify right side
    12,134.41x = 144,066,522.78
  5. Step 5: Solve for x
    x = 144,066,522.78/12,134.41
  6. Step 6: Final answer
    x = 11,872.56

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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.