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Finding the Fourth Proportional to 26,731.49, 40,096.82 and 9,201.47

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Solution

The fourth proportional to 26,731.49, 40,096.82 and 9,201.47 is: 13,802.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,731.49 : 40,096.82 = 9,201.47 : x
  2. Step 2: Convert to fraction form
    26,731.49/40,096.82 = 9,201.47/x
  3. Step 3: Cross multiply
    26,731.49x = 40,096.82 × 9,201.47
  4. Step 4: Simplify right side
    26,731.49x = 368,949,640.32
  5. Step 5: Solve for x
    x = 368,949,640.32/26,731.49
  6. Step 6: Final answer
    x = 13,802.06

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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.