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Finding the Fourth Proportional to 25,089.86, 37,640.56 and 8,449.50

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Solution

The fourth proportional to 25,089.86, 37,640.56 and 8,449.50 is: 12,676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,089.86 : 37,640.56 = 8,449.50 : x
  2. Step 2: Convert to fraction form
    25,089.86/37,640.56 = 8,449.50/x
  3. Step 3: Cross multiply
    25,089.86x = 37,640.56 × 8,449.50
  4. Step 4: Simplify right side
    25,089.86x = 318,043,911.72
  5. Step 5: Solve for x
    x = 318,043,911.72/25,089.86
  6. Step 6: Final answer
    x = 12,676.19

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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.