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Finding the Fourth Proportional to 22,930.64, 34,399.38 and 8,138.32

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Solution

The fourth proportional to 22,930.64, 34,399.38 and 8,138.32 is: 12,208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,930.64 : 34,399.38 = 8,138.32 : x
  2. Step 2: Convert to fraction form
    22,930.64/34,399.38 = 8,138.32/x
  3. Step 3: Cross multiply
    22,930.64x = 34,399.38 × 8,138.32
  4. Step 4: Simplify right side
    22,930.64x = 279,953,045.72
  5. Step 5: Solve for x
    x = 279,953,045.72/22,930.64
  6. Step 6: Final answer
    x = 12,208.69

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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.