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Finding the Fourth Proportional to 8,268.64, 12,398.70 and 2,424.49

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Solution

The fourth proportional to 8,268.64, 12,398.70 and 2,424.49 is: 3,635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.64 : 12,398.70 = 2,424.49 : x
  2. Step 2: Convert to fraction form
    8,268.64/12,398.70 = 2,424.49/x
  3. Step 3: Cross multiply
    8,268.64x = 12,398.70 × 2,424.49
  4. Step 4: Simplify right side
    8,268.64x = 30,060,502.26
  5. Step 5: Solve for x
    x = 30,060,502.26/8,268.64
  6. Step 6: Final answer
    x = 3,635.48

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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.