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Finding the Fourth Proportional to 14,722.11, 22,085.64 and 6,832.53

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Solution

The fourth proportional to 14,722.11, 22,085.64 and 6,832.53 is: 10,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,722.11 : 22,085.64 = 6,832.53 : x
  2. Step 2: Convert to fraction form
    14,722.11/22,085.64 = 6,832.53/x
  3. Step 3: Cross multiply
    14,722.11x = 22,085.64 × 6,832.53
  4. Step 4: Simplify right side
    14,722.11x = 150,900,797.87
  5. Step 5: Solve for x
    x = 150,900,797.87/14,722.11
  6. Step 6: Final answer
    x = 10,249.94

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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.