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Finding the Fourth Proportional to 16,500.04, 22,770.22 and 8,946.38

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Solution

The fourth proportional to 16,500.04, 22,770.22 and 8,946.38 is: 12,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.04 : 22,770.22 = 8,946.38 : x
  2. Step 2: Convert to fraction form
    16,500.04/22,770.22 = 8,946.38/x
  3. Step 3: Cross multiply
    16,500.04x = 22,770.22 × 8,946.38
  4. Step 4: Simplify right side
    16,500.04x = 203,711,040.80
  5. Step 5: Solve for x
    x = 203,711,040.80/16,500.04
  6. Step 6: Final answer
    x = 12,346.10

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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.