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Finding the Fourth Proportional to 25,694.87, 38,548.94 and 7,925.13

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Solution

The fourth proportional to 25,694.87, 38,548.94 and 7,925.13 is: 11,889.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,694.87 : 38,548.94 = 7,925.13 : x
  2. Step 2: Convert to fraction form
    25,694.87/38,548.94 = 7,925.13/x
  3. Step 3: Cross multiply
    25,694.87x = 38,548.94 × 7,925.13
  4. Step 4: Simplify right side
    25,694.87x = 305,505,341.05
  5. Step 5: Solve for x
    x = 305,505,341.05/25,694.87
  6. Step 6: Final answer
    x = 11,889.74

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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.