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Finding the Fourth Proportional to 23,843.16, 35,765.49 and 11,364.54

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Solution

The fourth proportional to 23,843.16, 35,765.49 and 11,364.54 is: 17,047.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843.16 : 35,765.49 = 11,364.54 : x
  2. Step 2: Convert to fraction form
    23,843.16/35,765.49 = 11,364.54/x
  3. Step 3: Cross multiply
    23,843.16x = 35,765.49 × 11,364.54
  4. Step 4: Simplify right side
    23,843.16x = 406,458,341.72
  5. Step 5: Solve for x
    x = 406,458,341.72/23,843.16
  6. Step 6: Final answer
    x = 17,047.17

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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.