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Finding the Fourth Proportional to 16,149.17, 22,286.44 and 9,346.69

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Solution

The fourth proportional to 16,149.17, 22,286.44 and 9,346.69 is: 12,898.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149.17 : 22,286.44 = 9,346.69 : x
  2. Step 2: Convert to fraction form
    16,149.17/22,286.44 = 9,346.69/x
  3. Step 3: Cross multiply
    16,149.17x = 22,286.44 × 9,346.69
  4. Step 4: Simplify right side
    16,149.17x = 208,304,485.43
  5. Step 5: Solve for x
    x = 208,304,485.43/16,149.17
  6. Step 6: Final answer
    x = 12,898.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.