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Finding the Fourth Proportional to 12,227.16, 18,343.11 and 5,207.06

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Solution

The fourth proportional to 12,227.16, 18,343.11 and 5,207.06 is: 7,811.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.16 : 18,343.11 = 5,207.06 : x
  2. Step 2: Convert to fraction form
    12,227.16/18,343.11 = 5,207.06/x
  3. Step 3: Cross multiply
    12,227.16x = 18,343.11 × 5,207.06
  4. Step 4: Simplify right side
    12,227.16x = 95,513,582.64
  5. Step 5: Solve for x
    x = 95,513,582.64/12,227.16
  6. Step 6: Final answer
    x = 7,811.59

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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.