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Finding the Fourth Proportional to 20,769.86, 31,152 and 7,620.50

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Solution

The fourth proportional to 20,769.86, 31,152 and 7,620.50 is: 11,429.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,769.86 : 31,152 = 7,620.50 : x
  2. Step 2: Convert to fraction form
    20,769.86/31,152 = 7,620.50/x
  3. Step 3: Cross multiply
    20,769.86x = 31,152 × 7,620.50
  4. Step 4: Simplify right side
    20,769.86x = 237,393,816
  5. Step 5: Solve for x
    x = 237,393,816/20,769.86
  6. Step 6: Final answer
    x = 11,429.73

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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.