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Finding the Fourth Proportional to 23,772.78, 32,806.47 and 13,162.19

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Solution

The fourth proportional to 23,772.78, 32,806.47 and 13,162.19 is: 18,163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,772.78 : 32,806.47 = 13,162.19 : x
  2. Step 2: Convert to fraction form
    23,772.78/32,806.47 = 13,162.19/x
  3. Step 3: Cross multiply
    23,772.78x = 32,806.47 × 13,162.19
  4. Step 4: Simplify right side
    23,772.78x = 431,804,827.34
  5. Step 5: Solve for x
    x = 431,804,827.34/23,772.78
  6. Step 6: Final answer
    x = 18,163.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.