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Finding the Fourth Proportional to 14,723, 20,318.06 and 8,099

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Solution

The fourth proportional to 14,723, 20,318.06 and 8,099 is: 11,176.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,723 : 20,318.06 = 8,099 : x
  2. Step 2: Convert to fraction form
    14,723/20,318.06 = 8,099/x
  3. Step 3: Cross multiply
    14,723x = 20,318.06 × 8,099
  4. Step 4: Simplify right side
    14,723x = 164,555,967.94
  5. Step 5: Solve for x
    x = 164,555,967.94/14,723
  6. Step 6: Final answer
    x = 11,176.80

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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.