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Finding the Fourth Proportional to 19,929.94, 29,896.93 and 6,783.23

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Solution

The fourth proportional to 19,929.94, 29,896.93 and 6,783.23 is: 10,175.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,929.94 : 29,896.93 = 6,783.23 : x
  2. Step 2: Convert to fraction form
    19,929.94/29,896.93 = 6,783.23/x
  3. Step 3: Cross multiply
    19,929.94x = 29,896.93 × 6,783.23
  4. Step 4: Simplify right side
    19,929.94x = 202,797,752.48
  5. Step 5: Solve for x
    x = 202,797,752.48/19,929.94
  6. Step 6: Final answer
    x = 10,175.53

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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.