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Finding the Fourth Proportional to 12,857.15, 19,296.66 and 9,168.41

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Solution

The fourth proportional to 12,857.15, 19,296.66 and 9,168.41 is: 13,760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.15 : 19,296.66 = 9,168.41 : x
  2. Step 2: Convert to fraction form
    12,857.15/19,296.66 = 9,168.41/x
  3. Step 3: Cross multiply
    12,857.15x = 19,296.66 × 9,168.41
  4. Step 4: Simplify right side
    12,857.15x = 176,919,594.03
  5. Step 5: Solve for x
    x = 176,919,594.03/12,857.15
  6. Step 6: Final answer
    x = 13,760.41

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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.