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Finding the Fourth Proportional to 22,165.20, 33,247.80 and 9,853.20

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Solution

The fourth proportional to 22,165.20, 33,247.80 and 9,853.20 is: 14,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,165.20 : 33,247.80 = 9,853.20 : x
  2. Step 2: Convert to fraction form
    22,165.20/33,247.80 = 9,853.20/x
  3. Step 3: Cross multiply
    22,165.20x = 33,247.80 × 9,853.20
  4. Step 4: Simplify right side
    22,165.20x = 327,597,222.96
  5. Step 5: Solve for x
    x = 327,597,222.96/22,165.20
  6. Step 6: Final answer
    x = 14,779.80

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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.