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Finding the Fourth Proportional to 12,896.25, 19,344.05 and 4,131.15

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Solution

The fourth proportional to 12,896.25, 19,344.05 and 4,131.15 is: 6,196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.25 : 19,344.05 = 4,131.15 : x
  2. Step 2: Convert to fraction form
    12,896.25/19,344.05 = 4,131.15/x
  3. Step 3: Cross multiply
    12,896.25x = 19,344.05 × 4,131.15
  4. Step 4: Simplify right side
    12,896.25x = 79,913,151.50
  5. Step 5: Solve for x
    x = 79,913,151.50/12,896.25
  6. Step 6: Final answer
    x = 6,196.62

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Why These Related Problems?

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