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Finding the Fourth Proportional to 19,222, 28,834.90 and 5,371

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Solution

The fourth proportional to 19,222, 28,834.90 and 5,371 is: 8,057.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,222 : 28,834.90 = 5,371 : x
  2. Step 2: Convert to fraction form
    19,222/28,834.90 = 5,371/x
  3. Step 3: Cross multiply
    19,222x = 28,834.90 × 5,371
  4. Step 4: Simplify right side
    19,222x = 154,872,247.90
  5. Step 5: Solve for x
    x = 154,872,247.90/19,222
  6. Step 6: Final answer
    x = 8,057.03

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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.