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Finding the Fourth Proportional to 16,691.67, 23,036.54 and 9,523.35

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Solution

The fourth proportional to 16,691.67, 23,036.54 and 9,523.35 is: 13,143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,691.67 : 23,036.54 = 9,523.35 : x
  2. Step 2: Convert to fraction form
    16,691.67/23,036.54 = 9,523.35/x
  3. Step 3: Cross multiply
    16,691.67x = 23,036.54 × 9,523.35
  4. Step 4: Simplify right side
    16,691.67x = 219,384,985.59
  5. Step 5: Solve for x
    x = 219,384,985.59/16,691.67
  6. Step 6: Final answer
    x = 13,143.38

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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.