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Finding the Fourth Proportional to 13,151.70, 19,689.21 and 6,896.88

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Solution

The fourth proportional to 13,151.70, 19,689.21 and 6,896.88 is: 10,325.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,151.70 : 19,689.21 = 6,896.88 : x
  2. Step 2: Convert to fraction form
    13,151.70/19,689.21 = 6,896.88/x
  3. Step 3: Cross multiply
    13,151.70x = 19,689.21 × 6,896.88
  4. Step 4: Simplify right side
    13,151.70x = 135,794,118.66
  5. Step 5: Solve for x
    x = 135,794,118.66/13,151.70
  6. Step 6: Final answer
    x = 10,325.21

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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.