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Finding the Fourth Proportional to 26,448.14, 39,666.06 and 7,724.22

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Solution

The fourth proportional to 26,448.14, 39,666.06 and 7,724.22 is: 11,584.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,448.14 : 39,666.06 = 7,724.22 : x
  2. Step 2: Convert to fraction form
    26,448.14/39,666.06 = 7,724.22/x
  3. Step 3: Cross multiply
    26,448.14x = 39,666.06 × 7,724.22
  4. Step 4: Simplify right side
    26,448.14x = 306,389,373.97
  5. Step 5: Solve for x
    x = 306,389,373.97/26,448.14
  6. Step 6: Final answer
    x = 11,584.53

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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.