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Finding the Fourth Proportional to 21,882.60, 32,778.54 and 10,205.64

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Solution

The fourth proportional to 21,882.60, 32,778.54 and 10,205.64 is: 15,287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,882.60 : 32,778.54 = 10,205.64 : x
  2. Step 2: Convert to fraction form
    21,882.60/32,778.54 = 10,205.64/x
  3. Step 3: Cross multiply
    21,882.60x = 32,778.54 × 10,205.64
  4. Step 4: Simplify right side
    21,882.60x = 334,525,978.97
  5. Step 5: Solve for x
    x = 334,525,978.97/21,882.60
  6. Step 6: Final answer
    x = 15,287.30

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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.