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Finding the Fourth Proportional to 26,901.81, 40,349.75 and 7,182.09

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Solution

The fourth proportional to 26,901.81, 40,349.75 and 7,182.09 is: 10,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,901.81 : 40,349.75 = 7,182.09 : x
  2. Step 2: Convert to fraction form
    26,901.81/40,349.75 = 7,182.09/x
  3. Step 3: Cross multiply
    26,901.81x = 40,349.75 × 7,182.09
  4. Step 4: Simplify right side
    26,901.81x = 289,795,500.07
  5. Step 5: Solve for x
    x = 289,795,500.07/26,901.81
  6. Step 6: Final answer
    x = 10,772.34

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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.