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Finding the Fourth Proportional to 16,344, 24,516.36 and 4,032

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Solution

The fourth proportional to 16,344, 24,516.36 and 4,032 is: 6,048.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344 : 24,516.36 = 4,032 : x
  2. Step 2: Convert to fraction form
    16,344/24,516.36 = 4,032/x
  3. Step 3: Cross multiply
    16,344x = 24,516.36 × 4,032
  4. Step 4: Simplify right side
    16,344x = 98,849,963.52
  5. Step 5: Solve for x
    x = 98,849,963.52/16,344
  6. Step 6: Final answer
    x = 6,048.09

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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.