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Finding the Fourth Proportional to 12,154.34, 18,224.55 and 7,227.42

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Solution

The fourth proportional to 12,154.34, 18,224.55 and 7,227.42 is: 10,836.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.34 : 18,224.55 = 7,227.42 : x
  2. Step 2: Convert to fraction form
    12,154.34/18,224.55 = 7,227.42/x
  3. Step 3: Cross multiply
    12,154.34x = 18,224.55 × 7,227.42
  4. Step 4: Simplify right side
    12,154.34x = 131,716,477.16
  5. Step 5: Solve for x
    x = 131,716,477.16/12,154.34
  6. Step 6: Final answer
    x = 10,836.99

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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.