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Finding the Fourth Proportional to 25,298.39, 37,942.15 and 7,524.77

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Solution

The fourth proportional to 25,298.39, 37,942.15 and 7,524.77 is: 11,285.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,298.39 : 37,942.15 = 7,524.77 : x
  2. Step 2: Convert to fraction form
    25,298.39/37,942.15 = 7,524.77/x
  3. Step 3: Cross multiply
    25,298.39x = 37,942.15 × 7,524.77
  4. Step 4: Simplify right side
    25,298.39x = 285,505,952.06
  5. Step 5: Solve for x
    x = 285,505,952.06/25,298.39
  6. Step 6: Final answer
    x = 11,285.54

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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.