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Finding the Fourth Proportional to 19,937.76, 29,896.56 and 6,785.76

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Solution

The fourth proportional to 19,937.76, 29,896.56 and 6,785.76 is: 10,175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,937.76 : 29,896.56 = 6,785.76 : x
  2. Step 2: Convert to fraction form
    19,937.76/29,896.56 = 6,785.76/x
  3. Step 3: Cross multiply
    19,937.76x = 29,896.56 × 6,785.76
  4. Step 4: Simplify right side
    19,937.76x = 202,870,880.99
  5. Step 5: Solve for x
    x = 202,870,880.99/19,937.76
  6. Step 6: Final answer
    x = 10,175.21

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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.