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Finding the Fourth Proportional to 23,164.69, 31,966.93 and 13,092.78

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Solution

The fourth proportional to 23,164.69, 31,966.93 and 13,092.78 is: 18,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164.69 : 31,966.93 = 13,092.78 : x
  2. Step 2: Convert to fraction form
    23,164.69/31,966.93 = 13,092.78/x
  3. Step 3: Cross multiply
    23,164.69x = 31,966.93 × 13,092.78
  4. Step 4: Simplify right side
    23,164.69x = 418,536,141.56
  5. Step 5: Solve for x
    x = 418,536,141.56/23,164.69
  6. Step 6: Final answer
    x = 18,067.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.