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Finding the Fourth Proportional to 25,838.88, 38,755.44 and 7,120.32

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Solution

The fourth proportional to 25,838.88, 38,755.44 and 7,120.32 is: 10,679.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,838.88 : 38,755.44 = 7,120.32 : x
  2. Step 2: Convert to fraction form
    25,838.88/38,755.44 = 7,120.32/x
  3. Step 3: Cross multiply
    25,838.88x = 38,755.44 × 7,120.32
  4. Step 4: Simplify right side
    25,838.88x = 275,951,134.54
  5. Step 5: Solve for x
    x = 275,951,134.54/25,838.88
  6. Step 6: Final answer
    x = 10,679.69

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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.