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Finding the Fourth Proportional to 12,218.96, 18,326.10 and 5,202.84

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Solution

The fourth proportional to 12,218.96, 18,326.10 and 5,202.84 is: 7,803.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218.96 : 18,326.10 = 5,202.84 : x
  2. Step 2: Convert to fraction form
    12,218.96/18,326.10 = 5,202.84/x
  3. Step 3: Cross multiply
    12,218.96x = 18,326.10 × 5,202.84
  4. Step 4: Simplify right side
    12,218.96x = 95,347,766.12
  5. Step 5: Solve for x
    x = 95,347,766.12/12,218.96
  6. Step 6: Final answer
    x = 7,803.26

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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.