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Finding the Fourth Proportional to 25,311.96, 37,961.87 and 9,512.51

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Solution

The fourth proportional to 25,311.96, 37,961.87 and 9,512.51 is: 14,266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,311.96 : 37,961.87 = 9,512.51 : x
  2. Step 2: Convert to fraction form
    25,311.96/37,961.87 = 9,512.51/x
  3. Step 3: Cross multiply
    25,311.96x = 37,961.87 × 9,512.51
  4. Step 4: Simplify right side
    25,311.96x = 361,112,430.62
  5. Step 5: Solve for x
    x = 361,112,430.62/25,311.96
  6. Step 6: Final answer
    x = 14,266.47

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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.