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Finding the Fourth Proportional to 17,857.18, 26,767.18 and 6,002.14

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Solution

The fourth proportional to 17,857.18, 26,767.18 and 6,002.14 is: 8,996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.18 : 26,767.18 = 6,002.14 : x
  2. Step 2: Convert to fraction form
    17,857.18/26,767.18 = 6,002.14/x
  3. Step 3: Cross multiply
    17,857.18x = 26,767.18 × 6,002.14
  4. Step 4: Simplify right side
    17,857.18x = 160,660,361.77
  5. Step 5: Solve for x
    x = 160,660,361.77/17,857.18
  6. Step 6: Final answer
    x = 8,996.96

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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.