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Finding the Fourth Proportional to 19,377.20, 29,048.78 and 7,682.42

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Solution

The fourth proportional to 19,377.20, 29,048.78 and 7,682.42 is: 11,516.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,377.20 : 29,048.78 = 7,682.42 : x
  2. Step 2: Convert to fraction form
    19,377.20/29,048.78 = 7,682.42/x
  3. Step 3: Cross multiply
    19,377.20x = 29,048.78 × 7,682.42
  4. Step 4: Simplify right side
    19,377.20x = 223,164,928.45
  5. Step 5: Solve for x
    x = 223,164,928.45/19,377.20
  6. Step 6: Final answer
    x = 11,516.88

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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.