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Finding the Fourth Proportional to 12,744.36, 19,106.82 and 5,814

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Solution

The fourth proportional to 12,744.36, 19,106.82 and 5,814 is: 8,716.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.36 : 19,106.82 = 5,814 : x
  2. Step 2: Convert to fraction form
    12,744.36/19,106.82 = 5,814/x
  3. Step 3: Cross multiply
    12,744.36x = 19,106.82 × 5,814
  4. Step 4: Simplify right side
    12,744.36x = 111,087,051.48
  5. Step 5: Solve for x
    x = 111,087,051.48/12,744.36
  6. Step 6: Final answer
    x = 8,716.57

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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.