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Finding the Fourth Proportional to 15,414.57, 21,272.02 and 8,340.84

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Solution

The fourth proportional to 15,414.57, 21,272.02 and 8,340.84 is: 11,510.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,414.57 : 21,272.02 = 8,340.84 : x
  2. Step 2: Convert to fraction form
    15,414.57/21,272.02 = 8,340.84/x
  3. Step 3: Cross multiply
    15,414.57x = 21,272.02 × 8,340.84
  4. Step 4: Simplify right side
    15,414.57x = 177,426,494.44
  5. Step 5: Solve for x
    x = 177,426,494.44/15,414.57
  6. Step 6: Final answer
    x = 11,510.31

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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.