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Finding the Fourth Proportional to 21,889.75, 32,839.43 and 7,100.16

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Solution

The fourth proportional to 21,889.75, 32,839.43 and 7,100.16 is: 10,651.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,889.75 : 32,839.43 = 7,100.16 : x
  2. Step 2: Convert to fraction form
    21,889.75/32,839.43 = 7,100.16/x
  3. Step 3: Cross multiply
    21,889.75x = 32,839.43 × 7,100.16
  4. Step 4: Simplify right side
    21,889.75x = 233,165,207.31
  5. Step 5: Solve for x
    x = 233,165,207.31/21,889.75
  6. Step 6: Final answer
    x = 10,651.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.