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Finding the Fourth Proportional to 16,537.14, 22,816.08 and 9,462.20

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Solution

The fourth proportional to 16,537.14, 22,816.08 and 9,462.20 is: 13,054.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.14 : 22,816.08 = 9,462.20 : x
  2. Step 2: Convert to fraction form
    16,537.14/22,816.08 = 9,462.20/x
  3. Step 3: Cross multiply
    16,537.14x = 22,816.08 × 9,462.20
  4. Step 4: Simplify right side
    16,537.14x = 215,890,198.10
  5. Step 5: Solve for x
    x = 215,890,198.10/16,537.14
  6. Step 6: Final answer
    x = 13,054.87

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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.