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Finding the Fourth Proportional to 16,817.72, 23,209.07 and 10,447.83

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Solution

The fourth proportional to 16,817.72, 23,209.07 and 10,447.83 is: 14,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,817.72 : 23,209.07 = 10,447.83 : x
  2. Step 2: Convert to fraction form
    16,817.72/23,209.07 = 10,447.83/x
  3. Step 3: Cross multiply
    16,817.72x = 23,209.07 × 10,447.83
  4. Step 4: Simplify right side
    16,817.72x = 242,484,365.58
  5. Step 5: Solve for x
    x = 242,484,365.58/16,817.72
  6. Step 6: Final answer
    x = 14,418.38

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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.