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Finding the Fourth Proportional to 16,813.24, 23,202.06 and 9,259.42

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Solution

The fourth proportional to 16,813.24, 23,202.06 and 9,259.42 is: 12,777.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,813.24 : 23,202.06 = 9,259.42 : x
  2. Step 2: Convert to fraction form
    16,813.24/23,202.06 = 9,259.42/x
  3. Step 3: Cross multiply
    16,813.24x = 23,202.06 × 9,259.42
  4. Step 4: Simplify right side
    16,813.24x = 214,837,618.41
  5. Step 5: Solve for x
    x = 214,837,618.41/16,813.24
  6. Step 6: Final answer
    x = 12,777.88

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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.