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Finding the Fourth Proportional to 25,297.92, 37,946.94 and 7,767.72

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Solution

The fourth proportional to 25,297.92, 37,946.94 and 7,767.72 is: 11,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,297.92 : 37,946.94 = 7,767.72 : x
  2. Step 2: Convert to fraction form
    25,297.92/37,946.94 = 7,767.72/x
  3. Step 3: Cross multiply
    25,297.92x = 37,946.94 × 7,767.72
  4. Step 4: Simplify right side
    25,297.92x = 294,761,204.78
  5. Step 5: Solve for x
    x = 294,761,204.78/25,297.92
  6. Step 6: Final answer
    x = 11,651.60

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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.