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Finding the Fourth Proportional to 22,295.39, 30,767.47 and 12,224.25

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Solution

The fourth proportional to 22,295.39, 30,767.47 and 12,224.25 is: 16,869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,295.39 : 30,767.47 = 12,224.25 : x
  2. Step 2: Convert to fraction form
    22,295.39/30,767.47 = 12,224.25/x
  3. Step 3: Cross multiply
    22,295.39x = 30,767.47 × 12,224.25
  4. Step 4: Simplify right side
    22,295.39x = 376,109,214.59
  5. Step 5: Solve for x
    x = 376,109,214.59/22,295.39
  6. Step 6: Final answer
    x = 16,869.38

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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.