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Finding the Fourth Proportional to 22,228.25, 30,675.51 and 13,280.90

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Solution

The fourth proportional to 22,228.25, 30,675.51 and 13,280.90 is: 18,327.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,228.25 : 30,675.51 = 13,280.90 : x
  2. Step 2: Convert to fraction form
    22,228.25/30,675.51 = 13,280.90/x
  3. Step 3: Cross multiply
    22,228.25x = 30,675.51 × 13,280.90
  4. Step 4: Simplify right side
    22,228.25x = 407,398,227.38
  5. Step 5: Solve for x
    x = 407,398,227.38/22,228.25
  6. Step 6: Final answer
    x = 18,327.95

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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.