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Finding the Fourth Proportional to 17,446.37, 26,178.22 and 6,916.17

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Solution

The fourth proportional to 17,446.37, 26,178.22 and 6,916.17 is: 10,377.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,446.37 : 26,178.22 = 6,916.17 : x
  2. Step 2: Convert to fraction form
    17,446.37/26,178.22 = 6,916.17/x
  3. Step 3: Cross multiply
    17,446.37x = 26,178.22 × 6,916.17
  4. Step 4: Simplify right side
    17,446.37x = 181,052,979.38
  5. Step 5: Solve for x
    x = 181,052,979.38/17,446.37
  6. Step 6: Final answer
    x = 10,377.69

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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.