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Finding the Fourth Proportional to 25,884.91, 38,825.47 and 6,908.10

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Solution

The fourth proportional to 25,884.91, 38,825.47 and 6,908.10 is: 10,361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,884.91 : 38,825.47 = 6,908.10 : x
  2. Step 2: Convert to fraction form
    25,884.91/38,825.47 = 6,908.10/x
  3. Step 3: Cross multiply
    25,884.91x = 38,825.47 × 6,908.10
  4. Step 4: Simplify right side
    25,884.91x = 268,210,229.31
  5. Step 5: Solve for x
    x = 268,210,229.31/25,884.91
  6. Step 6: Final answer
    x = 10,361.64

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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.