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Finding the Fourth Proportional to 22,236.23, 33,365.84 and 9,765.02

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Solution

The fourth proportional to 22,236.23, 33,365.84 and 9,765.02 is: 14,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,236.23 : 33,365.84 = 9,765.02 : x
  2. Step 2: Convert to fraction form
    22,236.23/33,365.84 = 9,765.02/x
  3. Step 3: Cross multiply
    22,236.23x = 33,365.84 × 9,765.02
  4. Step 4: Simplify right side
    22,236.23x = 325,817,879.26
  5. Step 5: Solve for x
    x = 325,817,879.26/22,236.23
  6. Step 6: Final answer
    x = 14,652.57

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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.