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Finding the Fourth Proportional to 12,283.56, 18,335.97 and 10,728.36

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Solution

The fourth proportional to 12,283.56, 18,335.97 and 10,728.36 is: 16,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.56 : 18,335.97 = 10,728.36 : x
  2. Step 2: Convert to fraction form
    12,283.56/18,335.97 = 10,728.36/x
  3. Step 3: Cross multiply
    12,283.56x = 18,335.97 × 10,728.36
  4. Step 4: Simplify right side
    12,283.56x = 196,714,887.11
  5. Step 5: Solve for x
    x = 196,714,887.11/12,283.56
  6. Step 6: Final answer
    x = 16,014.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.