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Finding the Fourth Proportional to 19,378.56, 29,067.84 and 7,685.76

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Solution

The fourth proportional to 19,378.56, 29,067.84 and 7,685.76 is: 11,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,378.56 : 29,067.84 = 7,685.76 : x
  2. Step 2: Convert to fraction form
    19,378.56/29,067.84 = 7,685.76/x
  3. Step 3: Cross multiply
    19,378.56x = 29,067.84 × 7,685.76
  4. Step 4: Simplify right side
    19,378.56x = 223,408,441.96
  5. Step 5: Solve for x
    x = 223,408,441.96/19,378.56
  6. Step 6: Final answer
    x = 11,528.64

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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.