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Finding the Fourth Proportional to 23,788.70, 32,825.75 and 13,175.67

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Solution

The fourth proportional to 23,788.70, 32,825.75 and 13,175.67 is: 18,180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,788.70 : 32,825.75 = 13,175.67 : x
  2. Step 2: Convert to fraction form
    23,788.70/32,825.75 = 13,175.67/x
  3. Step 3: Cross multiply
    23,788.70x = 32,825.75 × 13,175.67
  4. Step 4: Simplify right side
    23,788.70x = 432,501,233.03
  5. Step 5: Solve for x
    x = 432,501,233.03/23,788.70
  6. Step 6: Final answer
    x = 18,180.96

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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.