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Finding the Fourth Proportional to 22,296.57, 30,772.38 and 13,801.39

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Solution

The fourth proportional to 22,296.57, 30,772.38 and 13,801.39 is: 19,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.57 : 30,772.38 = 13,801.39 : x
  2. Step 2: Convert to fraction form
    22,296.57/30,772.38 = 13,801.39/x
  3. Step 3: Cross multiply
    22,296.57x = 30,772.38 × 13,801.39
  4. Step 4: Simplify right side
    22,296.57x = 424,701,617.61
  5. Step 5: Solve for x
    x = 424,701,617.61/22,296.57
  6. Step 6: Final answer
    x = 19,047.85

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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.