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Finding the Fourth Proportional to 23,704.73, 32,713.52 and 13,633.17

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Solution

The fourth proportional to 23,704.73, 32,713.52 and 13,633.17 is: 18,814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,704.73 : 32,713.52 = 13,633.17 : x
  2. Step 2: Convert to fraction form
    23,704.73/32,713.52 = 13,633.17/x
  3. Step 3: Cross multiply
    23,704.73x = 32,713.52 × 13,633.17
  4. Step 4: Simplify right side
    23,704.73x = 445,988,911.29
  5. Step 5: Solve for x
    x = 445,988,911.29/23,704.73
  6. Step 6: Final answer
    x = 18,814.35

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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.