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Finding the Fourth Proportional to 26,399.50, 39,592.29 and 9,764.30

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Solution

The fourth proportional to 26,399.50, 39,592.29 and 9,764.30 is: 14,643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,399.50 : 39,592.29 = 9,764.30 : x
  2. Step 2: Convert to fraction form
    26,399.50/39,592.29 = 9,764.30/x
  3. Step 3: Cross multiply
    26,399.50x = 39,592.29 × 9,764.30
  4. Step 4: Simplify right side
    26,399.50x = 386,590,799.29
  5. Step 5: Solve for x
    x = 386,590,799.29/26,399.50
  6. Step 6: Final answer
    x = 14,643.87

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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.