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Finding the Fourth Proportional to 19,924.94, 29,887.14 and 6,786.48

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Solution

The fourth proportional to 19,924.94, 29,887.14 and 6,786.48 is: 10,179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,924.94 : 29,887.14 = 6,786.48 : x
  2. Step 2: Convert to fraction form
    19,924.94/29,887.14 = 6,786.48/x
  3. Step 3: Cross multiply
    19,924.94x = 29,887.14 × 6,786.48
  4. Step 4: Simplify right side
    19,924.94x = 202,828,477.87
  5. Step 5: Solve for x
    x = 202,828,477.87/19,924.94
  6. Step 6: Final answer
    x = 10,179.63

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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.