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Finding the Fourth Proportional to 23,375, 32,257.47 and 13,818.33

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Solution

The fourth proportional to 23,375, 32,257.47 and 13,818.33 is: 19,069.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,375 : 32,257.47 = 13,818.33 : x
  2. Step 2: Convert to fraction form
    23,375/32,257.47 = 13,818.33/x
  3. Step 3: Cross multiply
    23,375x = 32,257.47 × 13,818.33
  4. Step 4: Simplify right side
    23,375x = 445,744,365.43
  5. Step 5: Solve for x
    x = 445,744,365.43/23,375
  6. Step 6: Final answer
    x = 19,069.28

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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.