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Finding the Fourth Proportional to 20,493.78, 30,740.85 and 5,703.90

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Solution

The fourth proportional to 20,493.78, 30,740.85 and 5,703.90 is: 8,555.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,493.78 : 30,740.85 = 5,703.90 : x
  2. Step 2: Convert to fraction form
    20,493.78/30,740.85 = 5,703.90/x
  3. Step 3: Cross multiply
    20,493.78x = 30,740.85 × 5,703.90
  4. Step 4: Simplify right side
    20,493.78x = 175,342,734.32
  5. Step 5: Solve for x
    x = 175,342,734.32/20,493.78
  6. Step 6: Final answer
    x = 8,555.90

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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.