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Finding the Fourth Proportional to 16,081.97, 24,206.78 and 14,553.77

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Solution

The fourth proportional to 16,081.97, 24,206.78 and 14,553.77 is: 21,906.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,081.97 : 24,206.78 = 14,553.77 : x
  2. Step 2: Convert to fraction form
    16,081.97/24,206.78 = 14,553.77/x
  3. Step 3: Cross multiply
    16,081.97x = 24,206.78 × 14,553.77
  4. Step 4: Simplify right side
    16,081.97x = 352,299,823.91
  5. Step 5: Solve for x
    x = 352,299,823.91/16,081.97
  6. Step 6: Final answer
    x = 21,906.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.