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Finding the Fourth Proportional to 17,881.65, 26,822.49 and 6,194.87

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Solution

The fourth proportional to 17,881.65, 26,822.49 and 6,194.87 is: 9,292.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,881.65 : 26,822.49 = 6,194.87 : x
  2. Step 2: Convert to fraction form
    17,881.65/26,822.49 = 6,194.87/x
  3. Step 3: Cross multiply
    17,881.65x = 26,822.49 × 6,194.87
  4. Step 4: Simplify right side
    17,881.65x = 166,161,838.63
  5. Step 5: Solve for x
    x = 166,161,838.63/17,881.65
  6. Step 6: Final answer
    x = 9,292.31

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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.