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Finding the Fourth Proportional to 8,200.17, 12,300.21 and 2,044.17

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Solution

The fourth proportional to 8,200.17, 12,300.21 and 2,044.17 is: 3,066.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.17 : 12,300.21 = 2,044.17 : x
  2. Step 2: Convert to fraction form
    8,200.17/12,300.21 = 2,044.17/x
  3. Step 3: Cross multiply
    8,200.17x = 12,300.21 × 2,044.17
  4. Step 4: Simplify right side
    8,200.17x = 25,143,720.28
  5. Step 5: Solve for x
    x = 25,143,720.28/8,200.17
  6. Step 6: Final answer
    x = 3,066.24

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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.