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Finding the Fourth Proportional to 23,806.80, 35,711.82 and 12,116.88

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Solution

The fourth proportional to 23,806.80, 35,711.82 and 12,116.88 is: 18,176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.80 : 35,711.82 = 12,116.88 : x
  2. Step 2: Convert to fraction form
    23,806.80/35,711.82 = 12,116.88/x
  3. Step 3: Cross multiply
    23,806.80x = 35,711.82 × 12,116.88
  4. Step 4: Simplify right side
    23,806.80x = 432,715,837.52
  5. Step 5: Solve for x
    x = 432,715,837.52/23,806.80
  6. Step 6: Final answer
    x = 18,176.14

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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.