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Finding the Fourth Proportional to 12,616.74, 17,285.02 and 12,143.82

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Solution

The fourth proportional to 12,616.74, 17,285.02 and 12,143.82 is: 16,637.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.74 : 17,285.02 = 12,143.82 : x
  2. Step 2: Convert to fraction form
    12,616.74/17,285.02 = 12,143.82/x
  3. Step 3: Cross multiply
    12,616.74x = 17,285.02 × 12,143.82
  4. Step 4: Simplify right side
    12,616.74x = 209,906,171.58
  5. Step 5: Solve for x
    x = 209,906,171.58/12,616.74
  6. Step 6: Final answer
    x = 16,637.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.