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Finding the Fourth Proportional to 17,881.45, 26,822.21 and 6,194.68

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Solution

The fourth proportional to 17,881.45, 26,822.21 and 6,194.68 is: 9,292.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,881.45 : 26,822.21 = 6,194.68 : x
  2. Step 2: Convert to fraction form
    17,881.45/26,822.21 = 6,194.68/x
  3. Step 3: Cross multiply
    17,881.45x = 26,822.21 × 6,194.68
  4. Step 4: Simplify right side
    17,881.45x = 166,154,909.81
  5. Step 5: Solve for x
    x = 166,154,909.81/17,881.45
  6. Step 6: Final answer
    x = 9,292.03

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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.