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Finding the Fourth Proportional to 16,409.52, 24,614.36 and 4,097.52

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Solution

The fourth proportional to 16,409.52, 24,614.36 and 4,097.52 is: 6,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.52 : 24,614.36 = 4,097.52 : x
  2. Step 2: Convert to fraction form
    16,409.52/24,614.36 = 4,097.52/x
  3. Step 3: Cross multiply
    16,409.52x = 24,614.36 × 4,097.52
  4. Step 4: Simplify right side
    16,409.52x = 100,857,832.39
  5. Step 5: Solve for x
    x = 100,857,832.39/16,409.52
  6. Step 6: Final answer
    x = 6,146.30

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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.