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Finding the Fourth Proportional to 25,622.82, 38,435.49 and 8,094.06

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Solution

The fourth proportional to 25,622.82, 38,435.49 and 8,094.06 is: 12,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,622.82 : 38,435.49 = 8,094.06 : x
  2. Step 2: Convert to fraction form
    25,622.82/38,435.49 = 8,094.06/x
  3. Step 3: Cross multiply
    25,622.82x = 38,435.49 × 8,094.06
  4. Step 4: Simplify right side
    25,622.82x = 311,099,162.19
  5. Step 5: Solve for x
    x = 311,099,162.19/25,622.82
  6. Step 6: Final answer
    x = 12,141.49

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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.