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Finding the Fourth Proportional to 20,271.87, 30,408.12 and 7,124.40

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Solution

The fourth proportional to 20,271.87, 30,408.12 and 7,124.40 is: 10,686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,271.87 : 30,408.12 = 7,124.40 : x
  2. Step 2: Convert to fraction form
    20,271.87/30,408.12 = 7,124.40/x
  3. Step 3: Cross multiply
    20,271.87x = 30,408.12 × 7,124.40
  4. Step 4: Simplify right side
    20,271.87x = 216,639,610.13
  5. Step 5: Solve for x
    x = 216,639,610.13/20,271.87
  6. Step 6: Final answer
    x = 10,686.71

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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.