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Finding the Fourth Proportional to 10,146.94, 15,222.84 and 3,221.44

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Solution

The fourth proportional to 10,146.94, 15,222.84 and 3,221.44 is: 4,832.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.94 : 15,222.84 = 3,221.44 : x
  2. Step 2: Convert to fraction form
    10,146.94/15,222.84 = 3,221.44/x
  3. Step 3: Cross multiply
    10,146.94x = 15,222.84 × 3,221.44
  4. Step 4: Simplify right side
    10,146.94x = 49,039,415.55
  5. Step 5: Solve for x
    x = 49,039,415.55/10,146.94
  6. Step 6: Final answer
    x = 4,832.93

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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.