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Finding the Fourth Proportional to 25,850.26, 38,774.05 and 7,130.46

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Solution

The fourth proportional to 25,850.26, 38,774.05 and 7,130.46 is: 10,695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,850.26 : 38,774.05 = 7,130.46 : x
  2. Step 2: Convert to fraction form
    25,850.26/38,774.05 = 7,130.46/x
  3. Step 3: Cross multiply
    25,850.26x = 38,774.05 × 7,130.46
  4. Step 4: Simplify right side
    25,850.26x = 276,476,812.56
  5. Step 5: Solve for x
    x = 276,476,812.56/25,850.26
  6. Step 6: Final answer
    x = 10,695.32

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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.