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Finding the Fourth Proportional to 22,735.80, 31,371.84 and 12,661.02

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Solution

The fourth proportional to 22,735.80, 31,371.84 and 12,661.02 is: 17,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,735.80 : 31,371.84 = 12,661.02 : x
  2. Step 2: Convert to fraction form
    22,735.80/31,371.84 = 12,661.02/x
  3. Step 3: Cross multiply
    22,735.80x = 31,371.84 × 12,661.02
  4. Step 4: Simplify right side
    22,735.80x = 397,199,493.68
  5. Step 5: Solve for x
    x = 397,199,493.68/22,735.80
  6. Step 6: Final answer
    x = 17,470.22

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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.