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Finding the Fourth Proportional to 16,243.56, 22,415.82 and 9,170.76

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Solution

The fourth proportional to 16,243.56, 22,415.82 and 9,170.76 is: 12,655.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,243.56 : 22,415.82 = 9,170.76 : x
  2. Step 2: Convert to fraction form
    16,243.56/22,415.82 = 9,170.76/x
  3. Step 3: Cross multiply
    16,243.56x = 22,415.82 × 9,170.76
  4. Step 4: Simplify right side
    16,243.56x = 205,570,105.42
  5. Step 5: Solve for x
    x = 205,570,105.42/16,243.56
  6. Step 6: Final answer
    x = 12,655.48

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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.