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Finding the Fourth Proportional to 20,900.77, 31,350.78 and 8,420.45

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Solution

The fourth proportional to 20,900.77, 31,350.78 and 8,420.45 is: 12,630.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,900.77 : 31,350.78 = 8,420.45 : x
  2. Step 2: Convert to fraction form
    20,900.77/31,350.78 = 8,420.45/x
  3. Step 3: Cross multiply
    20,900.77x = 31,350.78 × 8,420.45
  4. Step 4: Simplify right side
    20,900.77x = 263,987,518.70
  5. Step 5: Solve for x
    x = 263,987,518.70/20,900.77
  6. Step 6: Final answer
    x = 12,630.52

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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.