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Finding the Fourth Proportional to 12,224.16, 18,339.92 and 5,111.85

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Solution

The fourth proportional to 12,224.16, 18,339.92 and 5,111.85 is: 7,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.16 : 18,339.92 = 5,111.85 : x
  2. Step 2: Convert to fraction form
    12,224.16/18,339.92 = 5,111.85/x
  3. Step 3: Cross multiply
    12,224.16x = 18,339.92 × 5,111.85
  4. Step 4: Simplify right side
    12,224.16x = 93,750,932.83
  5. Step 5: Solve for x
    x = 93,750,932.83/12,224.16
  6. Step 6: Final answer
    x = 7,669.32

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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.