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Finding the Fourth Proportional to 16,178.71, 22,327.07 and 9,105.39

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Solution

The fourth proportional to 16,178.71, 22,327.07 and 9,105.39 is: 12,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.71 : 22,327.07 = 9,105.39 : x
  2. Step 2: Convert to fraction form
    16,178.71/22,327.07 = 9,105.39/x
  3. Step 3: Cross multiply
    16,178.71x = 22,327.07 × 9,105.39
  4. Step 4: Simplify right side
    16,178.71x = 203,296,522.75
  5. Step 5: Solve for x
    x = 203,296,522.75/16,178.71
  6. Step 6: Final answer
    x = 12,565.68

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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.