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Finding the Fourth Proportional to 20,447.54, 30,673.05 and 5,656.46

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Solution

The fourth proportional to 20,447.54, 30,673.05 and 5,656.46 is: 8,485.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,447.54 : 30,673.05 = 5,656.46 : x
  2. Step 2: Convert to fraction form
    20,447.54/30,673.05 = 5,656.46/x
  3. Step 3: Cross multiply
    20,447.54x = 30,673.05 × 5,656.46
  4. Step 4: Simplify right side
    20,447.54x = 173,500,880.40
  5. Step 5: Solve for x
    x = 173,500,880.40/20,447.54
  6. Step 6: Final answer
    x = 8,485.17

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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.