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Finding the Fourth Proportional to 24,380.08, 33,644.36 and 13,202

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Solution

The fourth proportional to 24,380.08, 33,644.36 and 13,202 is: 18,218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,380.08 : 33,644.36 = 13,202 : x
  2. Step 2: Convert to fraction form
    24,380.08/33,644.36 = 13,202/x
  3. Step 3: Cross multiply
    24,380.08x = 33,644.36 × 13,202
  4. Step 4: Simplify right side
    24,380.08x = 444,172,840.72
  5. Step 5: Solve for x
    x = 444,172,840.72/24,380.08
  6. Step 6: Final answer
    x = 18,218.68

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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.