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Finding the Fourth Proportional to 12,230.16, 18,342.48 and 5,652.75

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Solution

The fourth proportional to 12,230.16, 18,342.48 and 5,652.75 is: 8,477.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.16 : 18,342.48 = 5,652.75 : x
  2. Step 2: Convert to fraction form
    12,230.16/18,342.48 = 5,652.75/x
  3. Step 3: Cross multiply
    12,230.16x = 18,342.48 × 5,652.75
  4. Step 4: Simplify right side
    12,230.16x = 103,685,453.82
  5. Step 5: Solve for x
    x = 103,685,453.82/12,230.16
  6. Step 6: Final answer
    x = 8,477.85

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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.