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Finding the Fourth Proportional to 22,858.56, 34,298.52 and 8,078.64

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Solution

The fourth proportional to 22,858.56, 34,298.52 and 8,078.64 is: 12,121.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,858.56 : 34,298.52 = 8,078.64 : x
  2. Step 2: Convert to fraction form
    22,858.56/34,298.52 = 8,078.64/x
  3. Step 3: Cross multiply
    22,858.56x = 34,298.52 × 8,078.64
  4. Step 4: Simplify right side
    22,858.56x = 277,085,395.61
  5. Step 5: Solve for x
    x = 277,085,395.61/22,858.56
  6. Step 6: Final answer
    x = 12,121.73

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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.