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Finding the Fourth Proportional to 19,682.28, 29,529.80 and 11,783.56

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Solution

The fourth proportional to 19,682.28, 29,529.80 and 11,783.56 is: 17,679.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.28 : 29,529.80 = 11,783.56 : x
  2. Step 2: Convert to fraction form
    19,682.28/29,529.80 = 11,783.56/x
  3. Step 3: Cross multiply
    19,682.28x = 29,529.80 × 11,783.56
  4. Step 4: Simplify right side
    19,682.28x = 347,966,170.09
  5. Step 5: Solve for x
    x = 347,966,170.09/19,682.28
  6. Step 6: Final answer
    x = 17,679.16

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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.