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Finding the Fourth Proportional to 16,914.24, 23,341.68 and 9,462.24

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Solution

The fourth proportional to 16,914.24, 23,341.68 and 9,462.24 is: 13,057.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,914.24 : 23,341.68 = 9,462.24 : x
  2. Step 2: Convert to fraction form
    16,914.24/23,341.68 = 9,462.24/x
  3. Step 3: Cross multiply
    16,914.24x = 23,341.68 × 9,462.24
  4. Step 4: Simplify right side
    16,914.24x = 220,864,578.16
  5. Step 5: Solve for x
    x = 220,864,578.16/16,914.24
  6. Step 6: Final answer
    x = 13,057.91

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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.