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Finding the Fourth Proportional to 27,969.50, 41,944.26 and 9,246.08

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Solution

The fourth proportional to 27,969.50, 41,944.26 and 9,246.08 is: 13,865.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,969.50 : 41,944.26 = 9,246.08 : x
  2. Step 2: Convert to fraction form
    27,969.50/41,944.26 = 9,246.08/x
  3. Step 3: Cross multiply
    27,969.50x = 41,944.26 × 9,246.08
  4. Step 4: Simplify right side
    27,969.50x = 387,820,088.36
  5. Step 5: Solve for x
    x = 387,820,088.36/27,969.50
  6. Step 6: Final answer
    x = 13,865.82

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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.