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Finding the Fourth Proportional to 26,902.32, 40,359.95 and 8,434.32

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Solution

The fourth proportional to 26,902.32, 40,359.95 and 8,434.32 is: 12,653.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,902.32 : 40,359.95 = 8,434.32 : x
  2. Step 2: Convert to fraction form
    26,902.32/40,359.95 = 8,434.32/x
  3. Step 3: Cross multiply
    26,902.32x = 40,359.95 × 8,434.32
  4. Step 4: Simplify right side
    26,902.32x = 340,408,691.31
  5. Step 5: Solve for x
    x = 340,408,691.31/26,902.32
  6. Step 6: Final answer
    x = 12,653.51

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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.