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Finding the Fourth Proportional to 19,823.22, 29,734.83 and 6,674.49

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Solution

The fourth proportional to 19,823.22, 29,734.83 and 6,674.49 is: 10,011.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.22 : 29,734.83 = 6,674.49 : x
  2. Step 2: Convert to fraction form
    19,823.22/29,734.83 = 6,674.49/x
  3. Step 3: Cross multiply
    19,823.22x = 29,734.83 × 6,674.49
  4. Step 4: Simplify right side
    19,823.22x = 198,464,825.49
  5. Step 5: Solve for x
    x = 198,464,825.49/19,823.22
  6. Step 6: Final answer
    x = 10,011.74

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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.