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Finding the Fourth Proportional to 12,198, 16,833.24 and 10,302

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Solution

The fourth proportional to 12,198, 16,833.24 and 10,302 is: 14,216.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198 : 16,833.24 = 10,302 : x
  2. Step 2: Convert to fraction form
    12,198/16,833.24 = 10,302/x
  3. Step 3: Cross multiply
    12,198x = 16,833.24 × 10,302
  4. Step 4: Simplify right side
    12,198x = 173,416,038.48
  5. Step 5: Solve for x
    x = 173,416,038.48/12,198
  6. Step 6: Final answer
    x = 14,216.76

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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.