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Finding the Fourth Proportional to 12,887.29, 19,363.34 and 8,209.41

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Solution

The fourth proportional to 12,887.29, 19,363.34 and 8,209.41 is: 12,334.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,887.29 : 19,363.34 = 8,209.41 : x
  2. Step 2: Convert to fraction form
    12,887.29/19,363.34 = 8,209.41/x
  3. Step 3: Cross multiply
    12,887.29x = 19,363.34 × 8,209.41
  4. Step 4: Simplify right side
    12,887.29x = 158,961,597.03
  5. Step 5: Solve for x
    x = 158,961,597.03/12,887.29
  6. Step 6: Final answer
    x = 12,334.76

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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.