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Finding the Fourth Proportional to 17,881.80, 26,822.49 and 7,356.66

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Solution

The fourth proportional to 17,881.80, 26,822.49 and 7,356.66 is: 11,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,881.80 : 26,822.49 = 7,356.66 : x
  2. Step 2: Convert to fraction form
    17,881.80/26,822.49 = 7,356.66/x
  3. Step 3: Cross multiply
    17,881.80x = 26,822.49 × 7,356.66
  4. Step 4: Simplify right side
    17,881.80x = 197,323,939.28
  5. Step 5: Solve for x
    x = 197,323,939.28/17,881.80
  6. Step 6: Final answer
    x = 11,034.90

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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.