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Finding the Fourth Proportional to 12,433.42, 18,642.09 and 5,322.29

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Solution

The fourth proportional to 12,433.42, 18,642.09 and 5,322.29 is: 7,979.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433.42 : 18,642.09 = 5,322.29 : x
  2. Step 2: Convert to fraction form
    12,433.42/18,642.09 = 5,322.29/x
  3. Step 3: Cross multiply
    12,433.42x = 18,642.09 × 5,322.29
  4. Step 4: Simplify right side
    12,433.42x = 99,218,609.19
  5. Step 5: Solve for x
    x = 99,218,609.19/12,433.42
  6. Step 6: Final answer
    x = 7,979.99

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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.