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Finding the Fourth Proportional to 20,421.92, 30,635.76 and 7,271.48

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Solution

The fourth proportional to 20,421.92, 30,635.76 and 7,271.48 is: 10,908.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,421.92 : 30,635.76 = 7,271.48 : x
  2. Step 2: Convert to fraction form
    20,421.92/30,635.76 = 7,271.48/x
  3. Step 3: Cross multiply
    20,421.92x = 30,635.76 × 7,271.48
  4. Step 4: Simplify right side
    20,421.92x = 222,767,316.12
  5. Step 5: Solve for x
    x = 222,767,316.12/20,421.92
  6. Step 6: Final answer
    x = 10,908.25

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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.