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Finding the Fourth Proportional to 26,641.34, 39,962.03 and 6,918.24

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Solution

The fourth proportional to 26,641.34, 39,962.03 and 6,918.24 is: 10,377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,641.34 : 39,962.03 = 6,918.24 : x
  2. Step 2: Convert to fraction form
    26,641.34/39,962.03 = 6,918.24/x
  3. Step 3: Cross multiply
    26,641.34x = 39,962.03 × 6,918.24
  4. Step 4: Simplify right side
    26,641.34x = 276,466,879.84
  5. Step 5: Solve for x
    x = 276,466,879.84/26,641.34
  6. Step 6: Final answer
    x = 10,377.37

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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.