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Finding the Fourth Proportional to 16,204.60, 22,356.21 and 10,234

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Solution

The fourth proportional to 16,204.60, 22,356.21 and 10,234 is: 14,119.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.60 : 22,356.21 = 10,234 : x
  2. Step 2: Convert to fraction form
    16,204.60/22,356.21 = 10,234/x
  3. Step 3: Cross multiply
    16,204.60x = 22,356.21 × 10,234
  4. Step 4: Simplify right side
    16,204.60x = 228,793,453.14
  5. Step 5: Solve for x
    x = 228,793,453.14/16,204.60
  6. Step 6: Final answer
    x = 14,119.04

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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.