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Finding the Fourth Proportional to 23,806.73, 32,853.24 and 13,196.54

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Solution

The fourth proportional to 23,806.73, 32,853.24 and 13,196.54 is: 18,211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.73 : 32,853.24 = 13,196.54 : x
  2. Step 2: Convert to fraction form
    23,806.73/32,853.24 = 13,196.54/x
  3. Step 3: Cross multiply
    23,806.73x = 32,853.24 × 13,196.54
  4. Step 4: Simplify right side
    23,806.73x = 433,548,931.52
  5. Step 5: Solve for x
    x = 433,548,931.52/23,806.73
  6. Step 6: Final answer
    x = 18,211.20

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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.