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Finding the Fourth Proportional to 12,859.72, 19,296.86 and 9,170.96

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Solution

The fourth proportional to 12,859.72, 19,296.86 and 9,170.96 is: 13,761.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859.72 : 19,296.86 = 9,170.96 : x
  2. Step 2: Convert to fraction form
    12,859.72/19,296.86 = 9,170.96/x
  3. Step 3: Cross multiply
    12,859.72x = 19,296.86 × 9,170.96
  4. Step 4: Simplify right side
    12,859.72x = 176,970,731.19
  5. Step 5: Solve for x
    x = 176,970,731.19/12,859.72
  6. Step 6: Final answer
    x = 13,761.63

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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.