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Finding the Fourth Proportional to 14,055, 19,394.22 and 7,767

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Solution

The fourth proportional to 14,055, 19,394.22 and 7,767 is: 10,717.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,055 : 19,394.22 = 7,767 : x
  2. Step 2: Convert to fraction form
    14,055/19,394.22 = 7,767/x
  3. Step 3: Cross multiply
    14,055x = 19,394.22 × 7,767
  4. Step 4: Simplify right side
    14,055x = 150,634,906.74
  5. Step 5: Solve for x
    x = 150,634,906.74/14,055
  6. Step 6: Final answer
    x = 10,717.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.