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Finding the Fourth Proportional to 25,204.96, 37,813.20 and 7,676.20

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Solution

The fourth proportional to 25,204.96, 37,813.20 and 7,676.20 is: 11,516.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,204.96 : 37,813.20 = 7,676.20 : x
  2. Step 2: Convert to fraction form
    25,204.96/37,813.20 = 7,676.20/x
  3. Step 3: Cross multiply
    25,204.96x = 37,813.20 × 7,676.20
  4. Step 4: Simplify right side
    25,204.96x = 290,261,685.84
  5. Step 5: Solve for x
    x = 290,261,685.84/25,204.96
  6. Step 6: Final answer
    x = 11,516.05

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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.