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Finding the Fourth Proportional to 22,146.72, 33,220 and 6,563.12

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Solution

The fourth proportional to 22,146.72, 33,220 and 6,563.12 is: 9,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,146.72 : 33,220 = 6,563.12 : x
  2. Step 2: Convert to fraction form
    22,146.72/33,220 = 6,563.12/x
  3. Step 3: Cross multiply
    22,146.72x = 33,220 × 6,563.12
  4. Step 4: Simplify right side
    22,146.72x = 218,026,846.40
  5. Step 5: Solve for x
    x = 218,026,846.40/22,146.72
  6. Step 6: Final answer
    x = 9,844.66

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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.