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Finding the Fourth Proportional to 16,691.63, 23,034.47 and 10,404

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Solution

The fourth proportional to 16,691.63, 23,034.47 and 10,404 is: 14,357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,691.63 : 23,034.47 = 10,404 : x
  2. Step 2: Convert to fraction form
    16,691.63/23,034.47 = 10,404/x
  3. Step 3: Cross multiply
    16,691.63x = 23,034.47 × 10,404
  4. Step 4: Simplify right side
    16,691.63x = 239,650,625.88
  5. Step 5: Solve for x
    x = 239,650,625.88/16,691.63
  6. Step 6: Final answer
    x = 14,357.53

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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.