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Finding the Fourth Proportional to 22,009.60, 33,014.40 and 16,177.60

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Solution

The fourth proportional to 22,009.60, 33,014.40 and 16,177.60 is: 24,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,009.60 : 33,014.40 = 16,177.60 : x
  2. Step 2: Convert to fraction form
    22,009.60/33,014.40 = 16,177.60/x
  3. Step 3: Cross multiply
    22,009.60x = 33,014.40 × 16,177.60
  4. Step 4: Simplify right side
    22,009.60x = 534,093,757.44
  5. Step 5: Solve for x
    x = 534,093,757.44/22,009.60
  6. Step 6: Final answer
    x = 24,266.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.