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Finding the Fourth Proportional to 17,077.36, 23,566.74 and 9,524.36

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Solution

The fourth proportional to 17,077.36, 23,566.74 and 9,524.36 is: 13,143.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.36 : 23,566.74 = 9,524.36 : x
  2. Step 2: Convert to fraction form
    17,077.36/23,566.74 = 9,524.36/x
  3. Step 3: Cross multiply
    17,077.36x = 23,566.74 × 9,524.36
  4. Step 4: Simplify right side
    17,077.36x = 224,458,115.79
  5. Step 5: Solve for x
    x = 224,458,115.79/17,077.36
  6. Step 6: Final answer
    x = 13,143.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.