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Finding the Fourth Proportional to 12,266.51, 18,399.87 and 5,242.13

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Solution

The fourth proportional to 12,266.51, 18,399.87 and 5,242.13 is: 7,863.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.51 : 18,399.87 = 5,242.13 : x
  2. Step 2: Convert to fraction form
    12,266.51/18,399.87 = 5,242.13/x
  3. Step 3: Cross multiply
    12,266.51x = 18,399.87 × 5,242.13
  4. Step 4: Simplify right side
    12,266.51x = 96,454,418.52
  5. Step 5: Solve for x
    x = 96,454,418.52/12,266.51
  6. Step 6: Final answer
    x = 7,863.24

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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.