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Finding the Fourth Proportional to 14,369.96, 21,529.02 and 8,201

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Solution

The fourth proportional to 14,369.96, 21,529.02 and 8,201 is: 12,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,369.96 : 21,529.02 = 8,201 : x
  2. Step 2: Convert to fraction form
    14,369.96/21,529.02 = 8,201/x
  3. Step 3: Cross multiply
    14,369.96x = 21,529.02 × 8,201
  4. Step 4: Simplify right side
    14,369.96x = 176,559,493.02
  5. Step 5: Solve for x
    x = 176,559,493.02/14,369.96
  6. Step 6: Final answer
    x = 12,286.71

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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.