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Finding the Fourth Proportional to 17,378.92, 25,949.81 and 13,829.08

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Solution

The fourth proportional to 17,378.92, 25,949.81 and 13,829.08 is: 20,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,378.92 : 25,949.81 = 13,829.08 : x
  2. Step 2: Convert to fraction form
    17,378.92/25,949.81 = 13,829.08/x
  3. Step 3: Cross multiply
    17,378.92x = 25,949.81 × 13,829.08
  4. Step 4: Simplify right side
    17,378.92x = 358,861,998.47
  5. Step 5: Solve for x
    x = 358,861,998.47/17,378.92
  6. Step 6: Final answer
    x = 20,649.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.