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Finding the Fourth Proportional to 20,509.50, 30,767.22 and 6,464.78

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Solution

The fourth proportional to 20,509.50, 30,767.22 and 6,464.78 is: 9,698.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.50 : 30,767.22 = 6,464.78 : x
  2. Step 2: Convert to fraction form
    20,509.50/30,767.22 = 6,464.78/x
  3. Step 3: Cross multiply
    20,509.50x = 30,767.22 × 6,464.78
  4. Step 4: Simplify right side
    20,509.50x = 198,903,308.51
  5. Step 5: Solve for x
    x = 198,903,308.51/20,509.50
  6. Step 6: Final answer
    x = 9,698.11

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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.