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Finding the Fourth Proportional to 23,231.82, 32,061.49 and 13,160.34

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Solution

The fourth proportional to 23,231.82, 32,061.49 and 13,160.34 is: 18,162.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,231.82 : 32,061.49 = 13,160.34 : x
  2. Step 2: Convert to fraction form
    23,231.82/32,061.49 = 13,160.34/x
  3. Step 3: Cross multiply
    23,231.82x = 32,061.49 × 13,160.34
  4. Step 4: Simplify right side
    23,231.82x = 421,940,091.17
  5. Step 5: Solve for x
    x = 421,940,091.17/23,231.82
  6. Step 6: Final answer
    x = 18,162.17

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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.