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Finding the Fourth Proportional to 14,222.84, 21,332.38 and 4,227.38

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Solution

The fourth proportional to 14,222.84, 21,332.38 and 4,227.38 is: 6,340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,222.84 : 21,332.38 = 4,227.38 : x
  2. Step 2: Convert to fraction form
    14,222.84/21,332.38 = 4,227.38/x
  3. Step 3: Cross multiply
    14,222.84x = 21,332.38 × 4,227.38
  4. Step 4: Simplify right side
    14,222.84x = 90,180,076.56
  5. Step 5: Solve for x
    x = 90,180,076.56/14,222.84
  6. Step 6: Final answer
    x = 6,340.51

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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.