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Finding the Fourth Proportional to 16,222.25, 22,386.71 and 8,770.25

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Solution

The fourth proportional to 16,222.25, 22,386.71 and 8,770.25 is: 12,102.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.25 : 22,386.71 = 8,770.25 : x
  2. Step 2: Convert to fraction form
    16,222.25/22,386.71 = 8,770.25/x
  3. Step 3: Cross multiply
    16,222.25x = 22,386.71 × 8,770.25
  4. Step 4: Simplify right side
    16,222.25x = 196,337,043.38
  5. Step 5: Solve for x
    x = 196,337,043.38/16,222.25
  6. Step 6: Final answer
    x = 12,102.95

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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.