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Finding the Fourth Proportional to 25,250.64, 37,874.52 and 7,720.08

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Solution

The fourth proportional to 25,250.64, 37,874.52 and 7,720.08 is: 11,579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,250.64 : 37,874.52 = 7,720.08 : x
  2. Step 2: Convert to fraction form
    25,250.64/37,874.52 = 7,720.08/x
  3. Step 3: Cross multiply
    25,250.64x = 37,874.52 × 7,720.08
  4. Step 4: Simplify right side
    25,250.64x = 292,394,324.36
  5. Step 5: Solve for x
    x = 292,394,324.36/25,250.64
  6. Step 6: Final answer
    x = 11,579.68

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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.