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Finding the Fourth Proportional to 13,232.66, 18,264.38 and 8,193.87

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Solution

The fourth proportional to 13,232.66, 18,264.38 and 8,193.87 is: 11,309.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.66 : 18,264.38 = 8,193.87 : x
  2. Step 2: Convert to fraction form
    13,232.66/18,264.38 = 8,193.87/x
  3. Step 3: Cross multiply
    13,232.66x = 18,264.38 × 8,193.87
  4. Step 4: Simplify right side
    13,232.66x = 149,655,914.38
  5. Step 5: Solve for x
    x = 149,655,914.38/13,232.66
  6. Step 6: Final answer
    x = 11,309.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.