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Finding the Fourth Proportional to 20,141.80, 30,218.73 and 6,994.24

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Solution

The fourth proportional to 20,141.80, 30,218.73 and 6,994.24 is: 10,493.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.80 : 30,218.73 = 6,994.24 : x
  2. Step 2: Convert to fraction form
    20,141.80/30,218.73 = 6,994.24/x
  3. Step 3: Cross multiply
    20,141.80x = 30,218.73 × 6,994.24
  4. Step 4: Simplify right side
    20,141.80x = 211,357,050.12
  5. Step 5: Solve for x
    x = 211,357,050.12/20,141.80
  6. Step 6: Final answer
    x = 10,493.45

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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.