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Finding the Fourth Proportional to 21,200.90, 31,800.33 and 8,052.25

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Solution

The fourth proportional to 21,200.90, 31,800.33 and 8,052.25 is: 12,077.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200.90 : 31,800.33 = 8,052.25 : x
  2. Step 2: Convert to fraction form
    21,200.90/31,800.33 = 8,052.25/x
  3. Step 3: Cross multiply
    21,200.90x = 31,800.33 × 8,052.25
  4. Step 4: Simplify right side
    21,200.90x = 256,064,207.24
  5. Step 5: Solve for x
    x = 256,064,207.24/21,200.90
  6. Step 6: Final answer
    x = 12,077.99

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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.