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Finding the Fourth Proportional to 17,857.62, 26,780.34 and 6,009.57

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Solution

The fourth proportional to 17,857.62, 26,780.34 and 6,009.57 is: 9,012.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.62 : 26,780.34 = 6,009.57 : x
  2. Step 2: Convert to fraction form
    17,857.62/26,780.34 = 6,009.57/x
  3. Step 3: Cross multiply
    17,857.62x = 26,780.34 × 6,009.57
  4. Step 4: Simplify right side
    17,857.62x = 160,938,327.85
  5. Step 5: Solve for x
    x = 160,938,327.85/17,857.62
  6. Step 6: Final answer
    x = 9,012.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.