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Finding the Fourth Proportional to 16,557.50, 24,838.98 and 5,464.82

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Solution

The fourth proportional to 16,557.50, 24,838.98 and 5,464.82 is: 8,198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,557.50 : 24,838.98 = 5,464.82 : x
  2. Step 2: Convert to fraction form
    16,557.50/24,838.98 = 5,464.82/x
  3. Step 3: Cross multiply
    16,557.50x = 24,838.98 × 5,464.82
  4. Step 4: Simplify right side
    16,557.50x = 135,740,554.68
  5. Step 5: Solve for x
    x = 135,740,554.68/16,557.50
  6. Step 6: Final answer
    x = 8,198.13

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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.