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Finding the Fourth Proportional to 16,092.84, 24,142.92 and 5,704.59

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Solution

The fourth proportional to 16,092.84, 24,142.92 and 5,704.59 is: 8,558.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,092.84 : 24,142.92 = 5,704.59 : x
  2. Step 2: Convert to fraction form
    16,092.84/24,142.92 = 5,704.59/x
  3. Step 3: Cross multiply
    16,092.84x = 24,142.92 × 5,704.59
  4. Step 4: Simplify right side
    16,092.84x = 137,725,529.15
  5. Step 5: Solve for x
    x = 137,725,529.15/16,092.84
  6. Step 6: Final answer
    x = 8,558.18

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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.