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Finding the Fourth Proportional to 14,794.38, 20,409.03 and 8,824.14

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Solution

The fourth proportional to 14,794.38, 20,409.03 and 8,824.14 is: 12,173.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,794.38 : 20,409.03 = 8,824.14 : x
  2. Step 2: Convert to fraction form
    14,794.38/20,409.03 = 8,824.14/x
  3. Step 3: Cross multiply
    14,794.38x = 20,409.03 × 8,824.14
  4. Step 4: Simplify right side
    14,794.38x = 180,092,137.98
  5. Step 5: Solve for x
    x = 180,092,137.98/14,794.38
  6. Step 6: Final answer
    x = 12,173.01

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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.