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Finding the Fourth Proportional to 17,971.80, 26,962.02 and 6,878.31

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Solution

The fourth proportional to 17,971.80, 26,962.02 and 6,878.31 is: 10,319.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,971.80 : 26,962.02 = 6,878.31 : x
  2. Step 2: Convert to fraction form
    17,971.80/26,962.02 = 6,878.31/x
  3. Step 3: Cross multiply
    17,971.80x = 26,962.02 × 6,878.31
  4. Step 4: Simplify right side
    17,971.80x = 185,453,131.79
  5. Step 5: Solve for x
    x = 185,453,131.79/17,971.80
  6. Step 6: Final answer
    x = 10,319.12

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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.