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Finding the Fourth Proportional to 13,208.42, 18,227.12 and 7,902.92

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Solution

The fourth proportional to 13,208.42, 18,227.12 and 7,902.92 is: 10,905.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208.42 : 18,227.12 = 7,902.92 : x
  2. Step 2: Convert to fraction form
    13,208.42/18,227.12 = 7,902.92/x
  3. Step 3: Cross multiply
    13,208.42x = 18,227.12 × 7,902.92
  4. Step 4: Simplify right side
    13,208.42x = 144,047,536.52
  5. Step 5: Solve for x
    x = 144,047,536.52/13,208.42
  6. Step 6: Final answer
    x = 10,905.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.