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Finding the Fourth Proportional to 22,295.57, 30,771 and 13,800.39

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Solution

The fourth proportional to 22,295.57, 30,771 and 13,800.39 is: 19,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,295.57 : 30,771 = 13,800.39 : x
  2. Step 2: Convert to fraction form
    22,295.57/30,771 = 13,800.39/x
  3. Step 3: Cross multiply
    22,295.57x = 30,771 × 13,800.39
  4. Step 4: Simplify right side
    22,295.57x = 424,651,800.69
  5. Step 5: Solve for x
    x = 424,651,800.69/22,295.57
  6. Step 6: Final answer
    x = 19,046.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.