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Finding the Fourth Proportional to 20,524.68, 30,806.46 and 10,143.72

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Solution

The fourth proportional to 20,524.68, 30,806.46 and 10,143.72 is: 15,225.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,524.68 : 30,806.46 = 10,143.72 : x
  2. Step 2: Convert to fraction form
    20,524.68/30,806.46 = 10,143.72/x
  3. Step 3: Cross multiply
    20,524.68x = 30,806.46 × 10,143.72
  4. Step 4: Simplify right side
    20,524.68x = 312,492,104.43
  5. Step 5: Solve for x
    x = 312,492,104.43/20,524.68
  6. Step 6: Final answer
    x = 15,225.19

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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.