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Finding the Fourth Proportional to 15,494.42, 21,382.20 and 8,420.84

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Solution

The fourth proportional to 15,494.42, 21,382.20 and 8,420.84 is: 11,620.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494.42 : 21,382.20 = 8,420.84 : x
  2. Step 2: Convert to fraction form
    15,494.42/21,382.20 = 8,420.84/x
  3. Step 3: Cross multiply
    15,494.42x = 21,382.20 × 8,420.84
  4. Step 4: Simplify right side
    15,494.42x = 180,056,202.28
  5. Step 5: Solve for x
    x = 180,056,202.28/15,494.42
  6. Step 6: Final answer
    x = 11,620.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.