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Finding the Fourth Proportional to 12,822.16, 17,700.84 and 10,161.04

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Solution

The fourth proportional to 12,822.16, 17,700.84 and 10,161.04 is: 14,027.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.16 : 17,700.84 = 10,161.04 : x
  2. Step 2: Convert to fraction form
    12,822.16/17,700.84 = 10,161.04/x
  3. Step 3: Cross multiply
    12,822.16x = 17,700.84 × 10,161.04
  4. Step 4: Simplify right side
    12,822.16x = 179,858,943.27
  5. Step 5: Solve for x
    x = 179,858,943.27/12,822.16
  6. Step 6: Final answer
    x = 14,027.20

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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.