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Finding the Fourth Proportional to 18,266.36, 27,401.12 and 6,419.12

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Solution

The fourth proportional to 18,266.36, 27,401.12 and 6,419.12 is: 9,629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,266.36 : 27,401.12 = 6,419.12 : x
  2. Step 2: Convert to fraction form
    18,266.36/27,401.12 = 6,419.12/x
  3. Step 3: Cross multiply
    18,266.36x = 27,401.12 × 6,419.12
  4. Step 4: Simplify right side
    18,266.36x = 175,891,077.41
  5. Step 5: Solve for x
    x = 175,891,077.41/18,266.36
  6. Step 6: Final answer
    x = 9,629.24

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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.