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Finding the Fourth Proportional to 23,132.50, 31,906.33 and 15,965.12

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Solution

The fourth proportional to 23,132.50, 31,906.33 and 15,965.12 is: 22,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,132.50 : 31,906.33 = 15,965.12 : x
  2. Step 2: Convert to fraction form
    23,132.50/31,906.33 = 15,965.12/x
  3. Step 3: Cross multiply
    23,132.50x = 31,906.33 × 15,965.12
  4. Step 4: Simplify right side
    23,132.50x = 509,388,427.06
  5. Step 5: Solve for x
    x = 509,388,427.06/23,132.50
  6. Step 6: Final answer
    x = 22,020.47

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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.