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Finding the Fourth Proportional to 17,881.47, 26,822.21 and 6,194.66

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Solution

The fourth proportional to 17,881.47, 26,822.21 and 6,194.66 is: 9,291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,881.47 : 26,822.21 = 6,194.66 : x
  2. Step 2: Convert to fraction form
    17,881.47/26,822.21 = 6,194.66/x
  3. Step 3: Cross multiply
    17,881.47x = 26,822.21 × 6,194.66
  4. Step 4: Simplify right side
    17,881.47x = 166,154,306.31
  5. Step 5: Solve for x
    x = 166,154,306.31/17,881.47
  6. Step 6: Final answer
    x = 9,291.98

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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.