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Finding the Fourth Proportional to 15,517.70, 21,414.96 and 8,444.39

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Solution

The fourth proportional to 15,517.70, 21,414.96 and 8,444.39 is: 11,653.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,517.70 : 21,414.96 = 8,444.39 : x
  2. Step 2: Convert to fraction form
    15,517.70/21,414.96 = 8,444.39/x
  3. Step 3: Cross multiply
    15,517.70x = 21,414.96 × 8,444.39
  4. Step 4: Simplify right side
    15,517.70x = 180,836,274.07
  5. Step 5: Solve for x
    x = 180,836,274.07/15,517.70
  6. Step 6: Final answer
    x = 11,653.55

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Why These Related Problems?

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