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Finding the Fourth Proportional to 16,693.82, 23,036.27 and 9,524.03

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Solution

The fourth proportional to 16,693.82, 23,036.27 and 9,524.03 is: 13,142.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,693.82 : 23,036.27 = 9,524.03 : x
  2. Step 2: Convert to fraction form
    16,693.82/23,036.27 = 9,524.03/x
  3. Step 3: Cross multiply
    16,693.82x = 23,036.27 × 9,524.03
  4. Step 4: Simplify right side
    16,693.82x = 219,398,173.70
  5. Step 5: Solve for x
    x = 219,398,173.70/16,693.82
  6. Step 6: Final answer
    x = 13,142.48

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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.