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Finding the Fourth Proportional to 8,424.95, 12,639.24 and 2,581.40

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Solution

The fourth proportional to 8,424.95, 12,639.24 and 2,581.40 is: 3,872.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.95 : 12,639.24 = 2,581.40 : x
  2. Step 2: Convert to fraction form
    8,424.95/12,639.24 = 2,581.40/x
  3. Step 3: Cross multiply
    8,424.95x = 12,639.24 × 2,581.40
  4. Step 4: Simplify right side
    8,424.95x = 32,626,965.73
  5. Step 5: Solve for x
    x = 32,626,965.73/8,424.95
  6. Step 6: Final answer
    x = 3,872.66

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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.