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Finding the Fourth Proportional to 20,876.09, 31,315.55 and 8,396.10

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Solution

The fourth proportional to 20,876.09, 31,315.55 and 8,396.10 is: 12,594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,876.09 : 31,315.55 = 8,396.10 : x
  2. Step 2: Convert to fraction form
    20,876.09/31,315.55 = 8,396.10/x
  3. Step 3: Cross multiply
    20,876.09x = 31,315.55 × 8,396.10
  4. Step 4: Simplify right side
    20,876.09x = 262,928,447.37
  5. Step 5: Solve for x
    x = 262,928,447.37/20,876.09
  6. Step 6: Final answer
    x = 12,594.72

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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.