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Finding the Fourth Proportional to 26,984.32, 40,494.66 and 9,454.30

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Solution

The fourth proportional to 26,984.32, 40,494.66 and 9,454.30 is: 14,187.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,984.32 : 40,494.66 = 9,454.30 : x
  2. Step 2: Convert to fraction form
    26,984.32/40,494.66 = 9,454.30/x
  3. Step 3: Cross multiply
    26,984.32x = 40,494.66 × 9,454.30
  4. Step 4: Simplify right side
    26,984.32x = 382,848,664.04
  5. Step 5: Solve for x
    x = 382,848,664.04/26,984.32
  6. Step 6: Final answer
    x = 14,187.82

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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.