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Finding the Fourth Proportional to 14,401, 19,873.38 and 7,777

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Solution

The fourth proportional to 14,401, 19,873.38 and 7,777 is: 10,732.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,401 : 19,873.38 = 7,777 : x
  2. Step 2: Convert to fraction form
    14,401/19,873.38 = 7,777/x
  3. Step 3: Cross multiply
    14,401x = 19,873.38 × 7,777
  4. Step 4: Simplify right side
    14,401x = 154,555,276.26
  5. Step 5: Solve for x
    x = 154,555,276.26/14,401
  6. Step 6: Final answer
    x = 10,732.26

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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.