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Finding the Fourth Proportional to 19,694.75, 29,509.23 and 13,840.88

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Solution

The fourth proportional to 19,694.75, 29,509.23 and 13,840.88 is: 20,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.75 : 29,509.23 = 13,840.88 : x
  2. Step 2: Convert to fraction form
    19,694.75/29,509.23 = 13,840.88/x
  3. Step 3: Cross multiply
    19,694.75x = 29,509.23 × 13,840.88
  4. Step 4: Simplify right side
    19,694.75x = 408,433,711.32
  5. Step 5: Solve for x
    x = 408,433,711.32/19,694.75
  6. Step 6: Final answer
    x = 20,738.20

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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.