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Finding the Fourth Proportional to 16,609, 24,913.56 and 5,665

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Solution

The fourth proportional to 16,609, 24,913.56 and 5,665 is: 8,497.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,609 : 24,913.56 = 5,665 : x
  2. Step 2: Convert to fraction form
    16,609/24,913.56 = 5,665/x
  3. Step 3: Cross multiply
    16,609x = 24,913.56 × 5,665
  4. Step 4: Simplify right side
    16,609x = 141,135,317.40
  5. Step 5: Solve for x
    x = 141,135,317.40/16,609
  6. Step 6: Final answer
    x = 8,497.52

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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.