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Finding the Fourth Proportional to 19,814.96, 29,727.12 and 5,775.28

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Solution

The fourth proportional to 19,814.96, 29,727.12 and 5,775.28 is: 8,664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.96 : 29,727.12 = 5,775.28 : x
  2. Step 2: Convert to fraction form
    19,814.96/29,727.12 = 5,775.28/x
  3. Step 3: Cross multiply
    19,814.96x = 29,727.12 × 5,775.28
  4. Step 4: Simplify right side
    19,814.96x = 171,682,441.59
  5. Step 5: Solve for x
    x = 171,682,441.59/19,814.96
  6. Step 6: Final answer
    x = 8,664.28

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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.