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Finding the Fourth Proportional to 20,998.85, 31,490.94 and 6,203.84

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Solution

The fourth proportional to 20,998.85, 31,490.94 and 6,203.84 is: 9,303.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.85 : 31,490.94 = 6,203.84 : x
  2. Step 2: Convert to fraction form
    20,998.85/31,490.94 = 6,203.84/x
  3. Step 3: Cross multiply
    20,998.85x = 31,490.94 × 6,203.84
  4. Step 4: Simplify right side
    20,998.85x = 195,364,753.21
  5. Step 5: Solve for x
    x = 195,364,753.21/20,998.85
  6. Step 6: Final answer
    x = 9,303.59

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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.