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Finding the Fourth Proportional to 17,166.57, 23,677.62 and 15,754.80

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Solution

The fourth proportional to 17,166.57, 23,677.62 and 15,754.80 is: 21,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,166.57 : 23,677.62 = 15,754.80 : x
  2. Step 2: Convert to fraction form
    17,166.57/23,677.62 = 15,754.80/x
  3. Step 3: Cross multiply
    17,166.57x = 23,677.62 × 15,754.80
  4. Step 4: Simplify right side
    17,166.57x = 373,036,197.29
  5. Step 5: Solve for x
    x = 373,036,197.29/17,166.57
  6. Step 6: Final answer
    x = 21,730.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.