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Finding the Fourth Proportional to 8,424.90, 12,636.84 and 2,581.50

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Solution

The fourth proportional to 8,424.90, 12,636.84 and 2,581.50 is: 3,872.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.90 : 12,636.84 = 2,581.50 : x
  2. Step 2: Convert to fraction form
    8,424.90/12,636.84 = 2,581.50/x
  3. Step 3: Cross multiply
    8,424.90x = 12,636.84 × 2,581.50
  4. Step 4: Simplify right side
    8,424.90x = 32,622,002.46
  5. Step 5: Solve for x
    x = 32,622,002.46/8,424.90
  6. Step 6: Final answer
    x = 3,872.09

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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.