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Finding the Fourth Proportional to 15,738.37, 21,717.38 and 9,022.46

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Solution

The fourth proportional to 15,738.37, 21,717.38 and 9,022.46 is: 12,450.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,738.37 : 21,717.38 = 9,022.46 : x
  2. Step 2: Convert to fraction form
    15,738.37/21,717.38 = 9,022.46/x
  3. Step 3: Cross multiply
    15,738.37x = 21,717.38 × 9,022.46
  4. Step 4: Simplify right side
    15,738.37x = 195,944,106.32
  5. Step 5: Solve for x
    x = 195,944,106.32/15,738.37
  6. Step 6: Final answer
    x = 12,450.09

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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.