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Finding the Fourth Proportional to 22,190.64, 33,307.84 and 13,442.64

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Solution

The fourth proportional to 22,190.64, 33,307.84 and 13,442.64 is: 20,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,190.64 : 33,307.84 = 13,442.64 : x
  2. Step 2: Convert to fraction form
    22,190.64/33,307.84 = 13,442.64/x
  3. Step 3: Cross multiply
    22,190.64x = 33,307.84 × 13,442.64
  4. Step 4: Simplify right side
    22,190.64x = 447,745,302.30
  5. Step 5: Solve for x
    x = 447,745,302.30/22,190.64
  6. Step 6: Final answer
    x = 20,177.21

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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.