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Finding the Fourth Proportional to 20,453.62, 30,677.02 and 5,664.04

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Solution

The fourth proportional to 20,453.62, 30,677.02 and 5,664.04 is: 8,495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,453.62 : 30,677.02 = 5,664.04 : x
  2. Step 2: Convert to fraction form
    20,453.62/30,677.02 = 5,664.04/x
  3. Step 3: Cross multiply
    20,453.62x = 30,677.02 × 5,664.04
  4. Step 4: Simplify right side
    20,453.62x = 173,755,868.36
  5. Step 5: Solve for x
    x = 173,755,868.36/20,453.62
  6. Step 6: Final answer
    x = 8,495.12

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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.