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Finding the Fourth Proportional to 17,971.62, 26,959.05 and 6,877.86

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Solution

The fourth proportional to 17,971.62, 26,959.05 and 6,877.86 is: 10,317.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,971.62 : 26,959.05 = 6,877.86 : x
  2. Step 2: Convert to fraction form
    17,971.62/26,959.05 = 6,877.86/x
  3. Step 3: Cross multiply
    17,971.62x = 26,959.05 × 6,877.86
  4. Step 4: Simplify right side
    17,971.62x = 185,420,571.63
  5. Step 5: Solve for x
    x = 185,420,571.63/17,971.62
  6. Step 6: Final answer
    x = 10,317.41

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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.