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Finding the Fourth Proportional to 22,886.56, 34,340.56 and 8,106.64

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Solution

The fourth proportional to 22,886.56, 34,340.56 and 8,106.64 is: 12,163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,886.56 : 34,340.56 = 8,106.64 : x
  2. Step 2: Convert to fraction form
    22,886.56/34,340.56 = 8,106.64/x
  3. Step 3: Cross multiply
    22,886.56x = 34,340.56 × 8,106.64
  4. Step 4: Simplify right side
    22,886.56x = 278,386,557.32
  5. Step 5: Solve for x
    x = 278,386,557.32/22,886.56
  6. Step 6: Final answer
    x = 12,163.76

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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.