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Finding the Fourth Proportional to 25,860.49, 38,789.96 and 7,141.66

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Solution

The fourth proportional to 25,860.49, 38,789.96 and 7,141.66 is: 10,712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,860.49 : 38,789.96 = 7,141.66 : x
  2. Step 2: Convert to fraction form
    25,860.49/38,789.96 = 7,141.66/x
  3. Step 3: Cross multiply
    25,860.49x = 38,789.96 × 7,141.66
  4. Step 4: Simplify right side
    25,860.49x = 277,024,573.05
  5. Step 5: Solve for x
    x = 277,024,573.05/25,860.49
  6. Step 6: Final answer
    x = 10,712.27

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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.