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Finding the Fourth Proportional to 25,240.68, 37,857.78 and 7,705.80

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Solution

The fourth proportional to 25,240.68, 37,857.78 and 7,705.80 is: 11,557.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,240.68 : 37,857.78 = 7,705.80 : x
  2. Step 2: Convert to fraction form
    25,240.68/37,857.78 = 7,705.80/x
  3. Step 3: Cross multiply
    25,240.68x = 37,857.78 × 7,705.80
  4. Step 4: Simplify right side
    25,240.68x = 291,724,481.12
  5. Step 5: Solve for x
    x = 291,724,481.12/25,240.68
  6. Step 6: Final answer
    x = 11,557.71

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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.