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Finding the Fourth Proportional to 23,453.48, 32,365.76 and 12,843.12

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Solution

The fourth proportional to 23,453.48, 32,365.76 and 12,843.12 is: 17,723.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,453.48 : 32,365.76 = 12,843.12 : x
  2. Step 2: Convert to fraction form
    23,453.48/32,365.76 = 12,843.12/x
  3. Step 3: Cross multiply
    23,453.48x = 32,365.76 × 12,843.12
  4. Step 4: Simplify right side
    23,453.48x = 415,677,339.57
  5. Step 5: Solve for x
    x = 415,677,339.57/23,453.48
  6. Step 6: Final answer
    x = 17,723.48

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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.