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Finding the Fourth Proportional to 22,735.25, 31,378.66 and 14,244.65

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Solution

The fourth proportional to 22,735.25, 31,378.66 and 14,244.65 is: 19,660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,735.25 : 31,378.66 = 14,244.65 : x
  2. Step 2: Convert to fraction form
    22,735.25/31,378.66 = 14,244.65/x
  3. Step 3: Cross multiply
    22,735.25x = 31,378.66 × 14,244.65
  4. Step 4: Simplify right side
    22,735.25x = 446,978,029.17
  5. Step 5: Solve for x
    x = 446,978,029.17/22,735.25
  6. Step 6: Final answer
    x = 19,660.13

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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.