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Finding the Fourth Proportional to 14,057.64, 19,398.24 and 7,769.88

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Solution

The fourth proportional to 14,057.64, 19,398.24 and 7,769.88 is: 10,721.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.64 : 19,398.24 = 7,769.88 : x
  2. Step 2: Convert to fraction form
    14,057.64/19,398.24 = 7,769.88/x
  3. Step 3: Cross multiply
    14,057.64x = 19,398.24 × 7,769.88
  4. Step 4: Simplify right side
    14,057.64x = 150,721,997.01
  5. Step 5: Solve for x
    x = 150,721,997.01/14,057.64
  6. Step 6: Final answer
    x = 10,721.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.