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Finding the Fourth Proportional to 19,833.57, 29,741.70 and 6,682.41

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Solution

The fourth proportional to 19,833.57, 29,741.70 and 6,682.41 is: 10,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,833.57 : 29,741.70 = 6,682.41 : x
  2. Step 2: Convert to fraction form
    19,833.57/29,741.70 = 6,682.41/x
  3. Step 3: Cross multiply
    19,833.57x = 29,741.70 × 6,682.41
  4. Step 4: Simplify right side
    19,833.57x = 198,746,233.50
  5. Step 5: Solve for x
    x = 198,746,233.50/19,833.57
  6. Step 6: Final answer
    x = 10,020.70

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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.