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Finding the Fourth Proportional to 12,224.25, 18,318.15 and 7,838.10

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Solution

The fourth proportional to 12,224.25, 18,318.15 and 7,838.10 is: 11,745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.25 : 18,318.15 = 7,838.10 : x
  2. Step 2: Convert to fraction form
    12,224.25/18,318.15 = 7,838.10/x
  3. Step 3: Cross multiply
    12,224.25x = 18,318.15 × 7,838.10
  4. Step 4: Simplify right side
    12,224.25x = 143,579,491.52
  5. Step 5: Solve for x
    x = 143,579,491.52/12,224.25
  6. Step 6: Final answer
    x = 11,745.46

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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.