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Finding the Fourth Proportional to 23,883.90, 32,947.26 and 16,224.42

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Solution

The fourth proportional to 23,883.90, 32,947.26 and 16,224.42 is: 22,381.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,883.90 : 32,947.26 = 16,224.42 : x
  2. Step 2: Convert to fraction form
    23,883.90/32,947.26 = 16,224.42/x
  3. Step 3: Cross multiply
    23,883.90x = 32,947.26 × 16,224.42
  4. Step 4: Simplify right side
    23,883.90x = 534,550,184.09
  5. Step 5: Solve for x
    x = 534,550,184.09/23,883.90
  6. Step 6: Final answer
    x = 22,381.19

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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.