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Finding the Fourth Proportional to 16,851.72, 23,241.66 and 14,830.76

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Solution

The fourth proportional to 16,851.72, 23,241.66 and 14,830.76 is: 20,454.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,851.72 : 23,241.66 = 14,830.76 : x
  2. Step 2: Convert to fraction form
    16,851.72/23,241.66 = 14,830.76/x
  3. Step 3: Cross multiply
    16,851.72x = 23,241.66 × 14,830.76
  4. Step 4: Simplify right side
    16,851.72x = 344,691,481.46
  5. Step 5: Solve for x
    x = 344,691,481.46/16,851.72
  6. Step 6: Final answer
    x = 20,454.38

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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.