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Finding the Fourth Proportional to 19,816.88, 29,729.30 and 6,493.64

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Solution

The fourth proportional to 19,816.88, 29,729.30 and 6,493.64 is: 9,741.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,816.88 : 29,729.30 = 6,493.64 : x
  2. Step 2: Convert to fraction form
    19,816.88/29,729.30 = 6,493.64/x
  3. Step 3: Cross multiply
    19,816.88x = 29,729.30 × 6,493.64
  4. Step 4: Simplify right side
    19,816.88x = 193,051,371.65
  5. Step 5: Solve for x
    x = 193,051,371.65/19,816.88
  6. Step 6: Final answer
    x = 9,741.76

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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.