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Finding the Fourth Proportional to 20,994.12, 31,493.02 and 5,411.76

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Solution

The fourth proportional to 20,994.12, 31,493.02 and 5,411.76 is: 8,118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,994.12 : 31,493.02 = 5,411.76 : x
  2. Step 2: Convert to fraction form
    20,994.12/31,493.02 = 5,411.76/x
  3. Step 3: Cross multiply
    20,994.12x = 31,493.02 × 5,411.76
  4. Step 4: Simplify right side
    20,994.12x = 170,432,665.92
  5. Step 5: Solve for x
    x = 170,432,665.92/20,994.12
  6. Step 6: Final answer
    x = 8,118.11

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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.