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Finding the Fourth Proportional to 25,865.98, 38,791.89 and 7,141.54

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Solution

The fourth proportional to 25,865.98, 38,791.89 and 7,141.54 is: 10,710.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,865.98 : 38,791.89 = 7,141.54 : x
  2. Step 2: Convert to fraction form
    25,865.98/38,791.89 = 7,141.54/x
  3. Step 3: Cross multiply
    25,865.98x = 38,791.89 × 7,141.54
  4. Step 4: Simplify right side
    25,865.98x = 277,033,834.11
  5. Step 5: Solve for x
    x = 277,033,834.11/25,865.98
  6. Step 6: Final answer
    x = 10,710.36

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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.