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Finding the Fourth Proportional to 26,292, 39,439.28 and 7,824.16

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Solution

The fourth proportional to 26,292, 39,439.28 and 7,824.16 is: 11,736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,292 : 39,439.28 = 7,824.16 : x
  2. Step 2: Convert to fraction form
    26,292/39,439.28 = 7,824.16/x
  3. Step 3: Cross multiply
    26,292x = 39,439.28 × 7,824.16
  4. Step 4: Simplify right side
    26,292x = 308,579,237.00
  5. Step 5: Solve for x
    x = 308,579,237.00/26,292
  6. Step 6: Final answer
    x = 11,736.62

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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.