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Finding the Fourth Proportional to 22,858.16, 31,544.12 and 12,786.56

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Solution

The fourth proportional to 22,858.16, 31,544.12 and 12,786.56 is: 17,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,858.16 : 31,544.12 = 12,786.56 : x
  2. Step 2: Convert to fraction form
    22,858.16/31,544.12 = 12,786.56/x
  3. Step 3: Cross multiply
    22,858.16x = 31,544.12 × 12,786.56
  4. Step 4: Simplify right side
    22,858.16x = 403,340,783.03
  5. Step 5: Solve for x
    x = 403,340,783.03/22,858.16
  6. Step 6: Final answer
    x = 17,645.37

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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.