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Finding the Fourth Proportional to 19,649.39, 29,468.60 and 7,797.83

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Solution

The fourth proportional to 19,649.39, 29,468.60 and 7,797.83 is: 11,694.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,649.39 : 29,468.60 = 7,797.83 : x
  2. Step 2: Convert to fraction form
    19,649.39/29,468.60 = 7,797.83/x
  3. Step 3: Cross multiply
    19,649.39x = 29,468.60 × 7,797.83
  4. Step 4: Simplify right side
    19,649.39x = 229,791,094.15
  5. Step 5: Solve for x
    x = 229,791,094.15/19,649.39
  6. Step 6: Final answer
    x = 11,694.57

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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.