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Finding the Fourth Proportional to 25,129.14, 37,682.82 and 7,594.92

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Solution

The fourth proportional to 25,129.14, 37,682.82 and 7,594.92 is: 11,389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,129.14 : 37,682.82 = 7,594.92 : x
  2. Step 2: Convert to fraction form
    25,129.14/37,682.82 = 7,594.92/x
  3. Step 3: Cross multiply
    25,129.14x = 37,682.82 × 7,594.92
  4. Step 4: Simplify right side
    25,129.14x = 286,198,003.27
  5. Step 5: Solve for x
    x = 286,198,003.27/25,129.14
  6. Step 6: Final answer
    x = 11,389.09

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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.