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Finding the Fourth Proportional to 12,242.99, 18,371.14 and 9,475.06

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Solution

The fourth proportional to 12,242.99, 18,371.14 and 9,475.06 is: 14,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.99 : 18,371.14 = 9,475.06 : x
  2. Step 2: Convert to fraction form
    12,242.99/18,371.14 = 9,475.06/x
  3. Step 3: Cross multiply
    12,242.99x = 18,371.14 × 9,475.06
  4. Step 4: Simplify right side
    12,242.99x = 174,067,736.07
  5. Step 5: Solve for x
    x = 174,067,736.07/12,242.99
  6. Step 6: Final answer
    x = 14,217.75

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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.