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Finding the Fourth Proportional to 19,636.80, 29,459.52 and 5,785.44

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Solution

The fourth proportional to 19,636.80, 29,459.52 and 5,785.44 is: 8,679.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,636.80 : 29,459.52 = 5,785.44 : x
  2. Step 2: Convert to fraction form
    19,636.80/29,459.52 = 5,785.44/x
  3. Step 3: Cross multiply
    19,636.80x = 29,459.52 × 5,785.44
  4. Step 4: Simplify right side
    19,636.80x = 170,436,285.39
  5. Step 5: Solve for x
    x = 170,436,285.39/19,636.80
  6. Step 6: Final answer
    x = 8,679.43

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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.