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Finding the Fourth Proportional to 26,192.32, 39,294.72 and 7,724.32

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Solution

The fourth proportional to 26,192.32, 39,294.72 and 7,724.32 is: 11,588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,192.32 : 39,294.72 = 7,724.32 : x
  2. Step 2: Convert to fraction form
    26,192.32/39,294.72 = 7,724.32/x
  3. Step 3: Cross multiply
    26,192.32x = 39,294.72 × 7,724.32
  4. Step 4: Simplify right side
    26,192.32x = 303,524,991.59
  5. Step 5: Solve for x
    x = 303,524,991.59/26,192.32
  6. Step 6: Final answer
    x = 11,588.32

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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.