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Finding the Fourth Proportional to 12,280.38, 18,408.64 and 5,262.22

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Solution

The fourth proportional to 12,280.38, 18,408.64 and 5,262.22 is: 7,888.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.38 : 18,408.64 = 5,262.22 : x
  2. Step 2: Convert to fraction form
    12,280.38/18,408.64 = 5,262.22/x
  3. Step 3: Cross multiply
    12,280.38x = 18,408.64 × 5,262.22
  4. Step 4: Simplify right side
    12,280.38x = 96,870,313.58
  5. Step 5: Solve for x
    x = 96,870,313.58/12,280.38
  6. Step 6: Final answer
    x = 7,888.22

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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.