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Finding the Fourth Proportional to 20,808.08, 31,224.48 and 7,669.68

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Solution

The fourth proportional to 20,808.08, 31,224.48 and 7,669.68 is: 11,509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,808.08 : 31,224.48 = 7,669.68 : x
  2. Step 2: Convert to fraction form
    20,808.08/31,224.48 = 7,669.68/x
  3. Step 3: Cross multiply
    20,808.08x = 31,224.48 × 7,669.68
  4. Step 4: Simplify right side
    20,808.08x = 239,481,769.77
  5. Step 5: Solve for x
    x = 239,481,769.77/20,808.08
  6. Step 6: Final answer
    x = 11,509.08

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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.