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Finding the Fourth Proportional to 14,491.98, 21,722.31 and 6,170.58

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Solution

The fourth proportional to 14,491.98, 21,722.31 and 6,170.58 is: 9,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.98 : 21,722.31 = 6,170.58 : x
  2. Step 2: Convert to fraction form
    14,491.98/21,722.31 = 6,170.58/x
  3. Step 3: Cross multiply
    14,491.98x = 21,722.31 × 6,170.58
  4. Step 4: Simplify right side
    14,491.98x = 134,039,251.64
  5. Step 5: Solve for x
    x = 134,039,251.64/14,491.98
  6. Step 6: Final answer
    x = 9,249.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.