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Finding the Fourth Proportional to 24,847.82, 34,304.15 and 16,374.57

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Solution

The fourth proportional to 24,847.82, 34,304.15 and 16,374.57 is: 22,606.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,847.82 : 34,304.15 = 16,374.57 : x
  2. Step 2: Convert to fraction form
    24,847.82/34,304.15 = 16,374.57/x
  3. Step 3: Cross multiply
    24,847.82x = 34,304.15 × 16,374.57
  4. Step 4: Simplify right side
    24,847.82x = 561,715,623.59
  5. Step 5: Solve for x
    x = 561,715,623.59/24,847.82
  6. Step 6: Final answer
    x = 22,606.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.