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Finding the Fourth Proportional to 19,777, 29,639.26 and 16,496.52

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Solution

The fourth proportional to 19,777, 29,639.26 and 16,496.52 is: 24,722.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777 : 29,639.26 = 16,496.52 : x
  2. Step 2: Convert to fraction form
    19,777/29,639.26 = 16,496.52/x
  3. Step 3: Cross multiply
    19,777x = 29,639.26 × 16,496.52
  4. Step 4: Simplify right side
    19,777x = 488,944,645.38
  5. Step 5: Solve for x
    x = 488,944,645.38/19,777
  6. Step 6: Final answer
    x = 24,722.89

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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.