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Finding the Fourth Proportional to 15,738.57, 21,719.05 and 8,664.84

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Solution

The fourth proportional to 15,738.57, 21,719.05 and 8,664.84 is: 11,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,738.57 : 21,719.05 = 8,664.84 : x
  2. Step 2: Convert to fraction form
    15,738.57/21,719.05 = 8,664.84/x
  3. Step 3: Cross multiply
    15,738.57x = 21,719.05 × 8,664.84
  4. Step 4: Simplify right side
    15,738.57x = 188,192,093.20
  5. Step 5: Solve for x
    x = 188,192,093.20/15,738.57
  6. Step 6: Final answer
    x = 11,957.38

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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.