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Finding the Fourth Proportional to 25,486.25, 38,229.37 and 7,957.58

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Solution

The fourth proportional to 25,486.25, 38,229.37 and 7,957.58 is: 11,936.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,486.25 : 38,229.37 = 7,957.58 : x
  2. Step 2: Convert to fraction form
    25,486.25/38,229.37 = 7,957.58/x
  3. Step 3: Cross multiply
    25,486.25x = 38,229.37 × 7,957.58
  4. Step 4: Simplify right side
    25,486.25x = 304,213,039.19
  5. Step 5: Solve for x
    x = 304,213,039.19/25,486.25
  6. Step 6: Final answer
    x = 11,936.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.