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Finding the Fourth Proportional to 23,453.91, 32,365.33 and 12,843.32

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Solution

The fourth proportional to 23,453.91, 32,365.33 and 12,843.32 is: 17,723.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,453.91 : 32,365.33 = 12,843.32 : x
  2. Step 2: Convert to fraction form
    23,453.91/32,365.33 = 12,843.32/x
  3. Step 3: Cross multiply
    23,453.91x = 32,365.33 × 12,843.32
  4. Step 4: Simplify right side
    23,453.91x = 415,678,096.16
  5. Step 5: Solve for x
    x = 415,678,096.16/23,453.91
  6. Step 6: Final answer
    x = 17,723.19

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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.