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Finding the Fourth Proportional to 26,273.68, 39,409.56 and 7,805.20

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Solution

The fourth proportional to 26,273.68, 39,409.56 and 7,805.20 is: 11,707.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,273.68 : 39,409.56 = 7,805.20 : x
  2. Step 2: Convert to fraction form
    26,273.68/39,409.56 = 7,805.20/x
  3. Step 3: Cross multiply
    26,273.68x = 39,409.56 × 7,805.20
  4. Step 4: Simplify right side
    26,273.68x = 307,599,497.71
  5. Step 5: Solve for x
    x = 307,599,497.71/26,273.68
  6. Step 6: Final answer
    x = 11,707.51

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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.