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Finding the Fourth Proportional to 17,362.26, 26,044.60 and 6,974

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Solution

The fourth proportional to 17,362.26, 26,044.60 and 6,974 is: 10,461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,362.26 : 26,044.60 = 6,974 : x
  2. Step 2: Convert to fraction form
    17,362.26/26,044.60 = 6,974/x
  3. Step 3: Cross multiply
    17,362.26x = 26,044.60 × 6,974
  4. Step 4: Simplify right side
    17,362.26x = 181,635,040.40
  5. Step 5: Solve for x
    x = 181,635,040.40/17,362.26
  6. Step 6: Final answer
    x = 10,461.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.