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Finding the Fourth Proportional to 16,286.61, 22,475.60 and 9,212.88

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Solution

The fourth proportional to 16,286.61, 22,475.60 and 9,212.88 is: 12,713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.61 : 22,475.60 = 9,212.88 : x
  2. Step 2: Convert to fraction form
    16,286.61/22,475.60 = 9,212.88/x
  3. Step 3: Cross multiply
    16,286.61x = 22,475.60 × 9,212.88
  4. Step 4: Simplify right side
    16,286.61x = 207,064,986.62
  5. Step 5: Solve for x
    x = 207,064,986.62/16,286.61
  6. Step 6: Final answer
    x = 12,713.82

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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.