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Finding the Fourth Proportional to 20,482.20, 30,657.66 and 13,806.48

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Solution

The fourth proportional to 20,482.20, 30,657.66 and 13,806.48 is: 20,665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,482.20 : 30,657.66 = 13,806.48 : x
  2. Step 2: Convert to fraction form
    20,482.20/30,657.66 = 13,806.48/x
  3. Step 3: Cross multiply
    20,482.20x = 30,657.66 × 13,806.48
  4. Step 4: Simplify right side
    20,482.20x = 423,274,369.64
  5. Step 5: Solve for x
    x = 423,274,369.64/20,482.20
  6. Step 6: Final answer
    x = 20,665.47

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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.