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Finding the Fourth Proportional to 19,833.21, 29,750.78 and 6,505.04

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Solution

The fourth proportional to 19,833.21, 29,750.78 and 6,505.04 is: 9,757.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,833.21 : 29,750.78 = 6,505.04 : x
  2. Step 2: Convert to fraction form
    19,833.21/29,750.78 = 6,505.04/x
  3. Step 3: Cross multiply
    19,833.21x = 29,750.78 × 6,505.04
  4. Step 4: Simplify right side
    19,833.21x = 193,529,832.65
  5. Step 5: Solve for x
    x = 193,529,832.65/19,833.21
  6. Step 6: Final answer
    x = 9,757.87

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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.