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Finding the Fourth Proportional to 16,493.64, 24,737.04 and 5,821.44

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Solution

The fourth proportional to 16,493.64, 24,737.04 and 5,821.44 is: 8,730.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,493.64 : 24,737.04 = 5,821.44 : x
  2. Step 2: Convert to fraction form
    16,493.64/24,737.04 = 5,821.44/x
  3. Step 3: Cross multiply
    16,493.64x = 24,737.04 × 5,821.44
  4. Step 4: Simplify right side
    16,493.64x = 144,005,194.14
  5. Step 5: Solve for x
    x = 144,005,194.14/16,493.64
  6. Step 6: Final answer
    x = 8,730.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.