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Finding the Fourth Proportional to 11,622.95, 17,441.84 and 4,226.70

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Solution

The fourth proportional to 11,622.95, 17,441.84 and 4,226.70 is: 6,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.95 : 17,441.84 = 4,226.70 : x
  2. Step 2: Convert to fraction form
    11,622.95/17,441.84 = 4,226.70/x
  3. Step 3: Cross multiply
    11,622.95x = 17,441.84 × 4,226.70
  4. Step 4: Simplify right side
    11,622.95x = 73,721,425.13
  5. Step 5: Solve for x
    x = 73,721,425.13/11,622.95
  6. Step 6: Final answer
    x = 6,342.75

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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.