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Finding the Fourth Proportional to 26,305.28, 39,463.28 and 9,665.47

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Solution

The fourth proportional to 26,305.28, 39,463.28 and 9,665.47 is: 14,500.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,305.28 : 39,463.28 = 9,665.47 : x
  2. Step 2: Convert to fraction form
    26,305.28/39,463.28 = 9,665.47/x
  3. Step 3: Cross multiply
    26,305.28x = 39,463.28 × 9,665.47
  4. Step 4: Simplify right side
    26,305.28x = 381,431,148.94
  5. Step 5: Solve for x
    x = 381,431,148.94/26,305.28
  6. Step 6: Final answer
    x = 14,500.17

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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.