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Finding the Fourth Proportional to 20,684.60, 30,988.01 and 10,271.24

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Solution

The fourth proportional to 20,684.60, 30,988.01 and 10,271.24 is: 15,387.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,684.60 : 30,988.01 = 10,271.24 : x
  2. Step 2: Convert to fraction form
    20,684.60/30,988.01 = 10,271.24/x
  3. Step 3: Cross multiply
    20,684.60x = 30,988.01 × 10,271.24
  4. Step 4: Simplify right side
    20,684.60x = 318,285,081.54
  5. Step 5: Solve for x
    x = 318,285,081.54/20,684.60
  6. Step 6: Final answer
    x = 15,387.54

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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.