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Finding the Fourth Proportional to 16,243.72, 22,416.15 and 9,170.44

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Solution

The fourth proportional to 16,243.72, 22,416.15 and 9,170.44 is: 12,655.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,243.72 : 22,416.15 = 9,170.44 : x
  2. Step 2: Convert to fraction form
    16,243.72/22,416.15 = 9,170.44/x
  3. Step 3: Cross multiply
    16,243.72x = 22,416.15 × 9,170.44
  4. Step 4: Simplify right side
    16,243.72x = 205,565,846.53
  5. Step 5: Solve for x
    x = 205,565,846.53/16,243.72
  6. Step 6: Final answer
    x = 12,655.10

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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.