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Finding the Fourth Proportional to 23,838, 32,896.33 and 13,227.61

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Solution

The fourth proportional to 23,838, 32,896.33 and 13,227.61 is: 18,254.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838 : 32,896.33 = 13,227.61 : x
  2. Step 2: Convert to fraction form
    23,838/32,896.33 = 13,227.61/x
  3. Step 3: Cross multiply
    23,838x = 32,896.33 × 13,227.61
  4. Step 4: Simplify right side
    23,838x = 435,139,659.19
  5. Step 5: Solve for x
    x = 435,139,659.19/23,838
  6. Step 6: Final answer
    x = 18,254.03

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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.