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Finding the Fourth Proportional to 15,769.65, 23,634.03 and 6,398.76

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Solution

The fourth proportional to 15,769.65, 23,634.03 and 6,398.76 is: 9,589.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769.65 : 23,634.03 = 6,398.76 : x
  2. Step 2: Convert to fraction form
    15,769.65/23,634.03 = 6,398.76/x
  3. Step 3: Cross multiply
    15,769.65x = 23,634.03 × 6,398.76
  4. Step 4: Simplify right side
    15,769.65x = 151,228,485.80
  5. Step 5: Solve for x
    x = 151,228,485.80/15,769.65
  6. Step 6: Final answer
    x = 9,589.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.