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Finding the Fourth Proportional to 23,212.81, 32,022.03 and 15,649.57

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Solution

The fourth proportional to 23,212.81, 32,022.03 and 15,649.57 is: 21,588.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212.81 : 32,022.03 = 15,649.57 : x
  2. Step 2: Convert to fraction form
    23,212.81/32,022.03 = 15,649.57/x
  3. Step 3: Cross multiply
    23,212.81x = 32,022.03 × 15,649.57
  4. Step 4: Simplify right side
    23,212.81x = 501,131,000.03
  5. Step 5: Solve for x
    x = 501,131,000.03/23,212.81
  6. Step 6: Final answer
    x = 21,588.55

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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.