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Finding the Fourth Proportional to 20,563.20, 30,844.80 and 7,416.92

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Solution

The fourth proportional to 20,563.20, 30,844.80 and 7,416.92 is: 11,125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,563.20 : 30,844.80 = 7,416.92 : x
  2. Step 2: Convert to fraction form
    20,563.20/30,844.80 = 7,416.92/x
  3. Step 3: Cross multiply
    20,563.20x = 30,844.80 × 7,416.92
  4. Step 4: Simplify right side
    20,563.20x = 228,773,414.02
  5. Step 5: Solve for x
    x = 228,773,414.02/20,563.20
  6. Step 6: Final answer
    x = 11,125.38

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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.