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Finding the Fourth Proportional to 23,213.31, 32,022.72 and 15,650.07

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Solution

The fourth proportional to 23,213.31, 32,022.72 and 15,650.07 is: 21,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,213.31 : 32,022.72 = 15,650.07 : x
  2. Step 2: Convert to fraction form
    23,213.31/32,022.72 = 15,650.07/x
  3. Step 3: Cross multiply
    23,213.31x = 32,022.72 × 15,650.07
  4. Step 4: Simplify right side
    23,213.31x = 501,157,809.59
  5. Step 5: Solve for x
    x = 501,157,809.59/23,213.31
  6. Step 6: Final answer
    x = 21,589.24

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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.