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Finding the Fourth Proportional to 19,765.36, 29,657.78 and 9,236.10

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Solution

The fourth proportional to 19,765.36, 29,657.78 and 9,236.10 is: 13,858.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765.36 : 29,657.78 = 9,236.10 : x
  2. Step 2: Convert to fraction form
    19,765.36/29,657.78 = 9,236.10/x
  3. Step 3: Cross multiply
    19,765.36x = 29,657.78 × 9,236.10
  4. Step 4: Simplify right side
    19,765.36x = 273,922,286.89
  5. Step 5: Solve for x
    x = 273,922,286.89/19,765.36
  6. Step 6: Final answer
    x = 13,858.71

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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.