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Finding the Fourth Proportional to 16,735.14, 25,105.04 and 5,645

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Solution

The fourth proportional to 16,735.14, 25,105.04 and 5,645 is: 8,468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,735.14 : 25,105.04 = 5,645 : x
  2. Step 2: Convert to fraction form
    16,735.14/25,105.04 = 5,645/x
  3. Step 3: Cross multiply
    16,735.14x = 25,105.04 × 5,645
  4. Step 4: Simplify right side
    16,735.14x = 141,717,950.80
  5. Step 5: Solve for x
    x = 141,717,950.80/16,735.14
  6. Step 6: Final answer
    x = 8,468.29

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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.