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Finding the Fourth Proportional to 20,311.92, 30,459.80 and 7,825.05

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Solution

The fourth proportional to 20,311.92, 30,459.80 and 7,825.05 is: 11,734.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,311.92 : 30,459.80 = 7,825.05 : x
  2. Step 2: Convert to fraction form
    20,311.92/30,459.80 = 7,825.05/x
  3. Step 3: Cross multiply
    20,311.92x = 30,459.80 × 7,825.05
  4. Step 4: Simplify right side
    20,311.92x = 238,349,477.55
  5. Step 5: Solve for x
    x = 238,349,477.55/20,311.92
  6. Step 6: Final answer
    x = 11,734.46

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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.