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Finding the Fourth Proportional to 14,711.58, 22,069.86 and 6,822.03

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Solution

The fourth proportional to 14,711.58, 22,069.86 and 6,822.03 is: 10,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.58 : 22,069.86 = 6,822.03 : x
  2. Step 2: Convert to fraction form
    14,711.58/22,069.86 = 6,822.03/x
  3. Step 3: Cross multiply
    14,711.58x = 22,069.86 × 6,822.03
  4. Step 4: Simplify right side
    14,711.58x = 150,561,247.02
  5. Step 5: Solve for x
    x = 150,561,247.02/14,711.58
  6. Step 6: Final answer
    x = 10,234.20

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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.