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Finding the Fourth Proportional to 23,706.22, 32,713.32 and 13,633.06

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Solution

The fourth proportional to 23,706.22, 32,713.32 and 13,633.06 is: 18,812.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.22 : 32,713.32 = 13,633.06 : x
  2. Step 2: Convert to fraction form
    23,706.22/32,713.32 = 13,633.06/x
  3. Step 3: Cross multiply
    23,706.22x = 32,713.32 × 13,633.06
  4. Step 4: Simplify right side
    23,706.22x = 445,982,654.36
  5. Step 5: Solve for x
    x = 445,982,654.36/23,706.22
  6. Step 6: Final answer
    x = 18,812.90

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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.