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Finding the Fourth Proportional to 16,222.69, 24,216.70 and 14,254.39

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Solution

The fourth proportional to 16,222.69, 24,216.70 and 14,254.39 is: 21,278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.69 : 24,216.70 = 14,254.39 : x
  2. Step 2: Convert to fraction form
    16,222.69/24,216.70 = 14,254.39/x
  3. Step 3: Cross multiply
    16,222.69x = 24,216.70 × 14,254.39
  4. Step 4: Simplify right side
    16,222.69x = 345,194,286.31
  5. Step 5: Solve for x
    x = 345,194,286.31/16,222.69
  6. Step 6: Final answer
    x = 21,278.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.