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Finding the Fourth Proportional to 19,546.62, 29,335.41 and 10,189.32

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Solution

The fourth proportional to 19,546.62, 29,335.41 and 10,189.32 is: 15,292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,546.62 : 29,335.41 = 10,189.32 : x
  2. Step 2: Convert to fraction form
    19,546.62/29,335.41 = 10,189.32/x
  3. Step 3: Cross multiply
    19,546.62x = 29,335.41 × 10,189.32
  4. Step 4: Simplify right side
    19,546.62x = 298,907,879.82
  5. Step 5: Solve for x
    x = 298,907,879.82/19,546.62
  6. Step 6: Final answer
    x = 15,292.05

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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.