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Finding the Fourth Proportional to 25,302.80, 37,954.20 and 7,772.60

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Solution

The fourth proportional to 25,302.80, 37,954.20 and 7,772.60 is: 11,658.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,302.80 : 37,954.20 = 7,772.60 : x
  2. Step 2: Convert to fraction form
    25,302.80/37,954.20 = 7,772.60/x
  3. Step 3: Cross multiply
    25,302.80x = 37,954.20 × 7,772.60
  4. Step 4: Simplify right side
    25,302.80x = 295,002,814.92
  5. Step 5: Solve for x
    x = 295,002,814.92/25,302.80
  6. Step 6: Final answer
    x = 11,658.90

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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.