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Finding the Fourth Proportional to 19,709.30, 29,529.92 and 13,838.42

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Solution

The fourth proportional to 19,709.30, 29,529.92 and 13,838.42 is: 20,733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.30 : 29,529.92 = 13,838.42 : x
  2. Step 2: Convert to fraction form
    19,709.30/29,529.92 = 13,838.42/x
  3. Step 3: Cross multiply
    19,709.30x = 29,529.92 × 13,838.42
  4. Step 4: Simplify right side
    19,709.30x = 408,647,435.53
  5. Step 5: Solve for x
    x = 408,647,435.53/19,709.30
  6. Step 6: Final answer
    x = 20,733.74

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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.