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Finding the Fourth Proportional to 16,045.65, 24,067.65 and 5,516.64

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Solution

The fourth proportional to 16,045.65, 24,067.65 and 5,516.64 is: 8,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,045.65 : 24,067.65 = 5,516.64 : x
  2. Step 2: Convert to fraction form
    16,045.65/24,067.65 = 5,516.64/x
  3. Step 3: Cross multiply
    16,045.65x = 24,067.65 × 5,516.64
  4. Step 4: Simplify right side
    16,045.65x = 132,772,560.70
  5. Step 5: Solve for x
    x = 132,772,560.70/16,045.65
  6. Step 6: Final answer
    x = 8,274.68

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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.