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Finding the Fourth Proportional to 15,769.19, 23,653.78 and 6,414.30

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Solution

The fourth proportional to 15,769.19, 23,653.78 and 6,414.30 is: 9,621.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769.19 : 23,653.78 = 6,414.30 : x
  2. Step 2: Convert to fraction form
    15,769.19/23,653.78 = 6,414.30/x
  3. Step 3: Cross multiply
    15,769.19x = 23,653.78 × 6,414.30
  4. Step 4: Simplify right side
    15,769.19x = 151,722,338.82
  5. Step 5: Solve for x
    x = 151,722,338.82/15,769.19
  6. Step 6: Final answer
    x = 9,621.44

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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.