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Finding the Fourth Proportional to 19,826.84, 29,746.48 and 6,679.82

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Solution

The fourth proportional to 19,826.84, 29,746.48 and 6,679.82 is: 10,021.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,826.84 : 29,746.48 = 6,679.82 : x
  2. Step 2: Convert to fraction form
    19,826.84/29,746.48 = 6,679.82/x
  3. Step 3: Cross multiply
    19,826.84x = 29,746.48 × 6,679.82
  4. Step 4: Simplify right side
    19,826.84x = 198,701,132.03
  5. Step 5: Solve for x
    x = 198,701,132.03/19,826.84
  6. Step 6: Final answer
    x = 10,021.83

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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.