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Finding the Fourth Proportional to 25,614.36, 38,198.07 and 22,782.60

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Solution

The fourth proportional to 25,614.36, 38,198.07 and 22,782.60 is: 33,975.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,614.36 : 38,198.07 = 22,782.60 : x
  2. Step 2: Convert to fraction form
    25,614.36/38,198.07 = 22,782.60/x
  3. Step 3: Cross multiply
    25,614.36x = 38,198.07 × 22,782.60
  4. Step 4: Simplify right side
    25,614.36x = 870,251,349.58
  5. Step 5: Solve for x
    x = 870,251,349.58/25,614.36
  6. Step 6: Final answer
    x = 33,975.14

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