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Finding the Fourth Proportional to 16,204.46, 22,362.15 and 8,752.46

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Solution

The fourth proportional to 16,204.46, 22,362.15 and 8,752.46 is: 12,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.46 : 22,362.15 = 8,752.46 : x
  2. Step 2: Convert to fraction form
    16,204.46/22,362.15 = 8,752.46/x
  3. Step 3: Cross multiply
    16,204.46x = 22,362.15 × 8,752.46
  4. Step 4: Simplify right side
    16,204.46x = 195,723,711.58
  5. Step 5: Solve for x
    x = 195,723,711.58/16,204.46
  6. Step 6: Final answer
    x = 12,078.39

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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.