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Finding the Fourth Proportional to 25,839.83, 38,738.39 and 9,826.07

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Solution

The fourth proportional to 25,839.83, 38,738.39 and 9,826.07 is: 14,730.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,839.83 : 38,738.39 = 9,826.07 : x
  2. Step 2: Convert to fraction form
    25,839.83/38,738.39 = 9,826.07/x
  3. Step 3: Cross multiply
    25,839.83x = 38,738.39 × 9,826.07
  4. Step 4: Simplify right side
    25,839.83x = 380,645,889.01
  5. Step 5: Solve for x
    x = 380,645,889.01/25,839.83
  6. Step 6: Final answer
    x = 14,730.97

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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.