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Finding the Fourth Proportional to 16,337.67, 22,548.50 and 9,170.47

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Solution

The fourth proportional to 16,337.67, 22,548.50 and 9,170.47 is: 12,656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,337.67 : 22,548.50 = 9,170.47 : x
  2. Step 2: Convert to fraction form
    16,337.67/22,548.50 = 9,170.47/x
  3. Step 3: Cross multiply
    16,337.67x = 22,548.50 × 9,170.47
  4. Step 4: Simplify right side
    16,337.67x = 206,780,342.80
  5. Step 5: Solve for x
    x = 206,780,342.80/16,337.67
  6. Step 6: Final answer
    x = 12,656.66

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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.