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Finding the Fourth Proportional to 19,142.19, 28,717.38 and 5,814

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Solution

The fourth proportional to 19,142.19, 28,717.38 and 5,814 is: 8,722.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,142.19 : 28,717.38 = 5,814 : x
  2. Step 2: Convert to fraction form
    19,142.19/28,717.38 = 5,814/x
  3. Step 3: Cross multiply
    19,142.19x = 28,717.38 × 5,814
  4. Step 4: Simplify right side
    19,142.19x = 166,962,847.32
  5. Step 5: Solve for x
    x = 166,962,847.32/19,142.19
  6. Step 6: Final answer
    x = 8,722.24

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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.