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Finding the Fourth Proportional to 21,851.25, 32,776.97 and 8,000.25

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Solution

The fourth proportional to 21,851.25, 32,776.97 and 8,000.25 is: 12,000.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,851.25 : 32,776.97 = 8,000.25 : x
  2. Step 2: Convert to fraction form
    21,851.25/32,776.97 = 8,000.25/x
  3. Step 3: Cross multiply
    21,851.25x = 32,776.97 × 8,000.25
  4. Step 4: Simplify right side
    21,851.25x = 262,223,914.24
  5. Step 5: Solve for x
    x = 262,223,914.24/21,851.25
  6. Step 6: Final answer
    x = 12,000.41

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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.