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Finding the Fourth Proportional to 23,632.91, 32,614.99 and 13,022.54

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Solution

The fourth proportional to 23,632.91, 32,614.99 and 13,022.54 is: 17,971.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,632.91 : 32,614.99 = 13,022.54 : x
  2. Step 2: Convert to fraction form
    23,632.91/32,614.99 = 13,022.54/x
  3. Step 3: Cross multiply
    23,632.91x = 32,614.99 × 13,022.54
  4. Step 4: Simplify right side
    23,632.91x = 424,729,930.34
  5. Step 5: Solve for x
    x = 424,729,930.34/23,632.91
  6. Step 6: Final answer
    x = 17,971.97

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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.