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Finding the Fourth Proportional to 23,132.88, 31,906.90 and 15,965.52

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Solution

The fourth proportional to 23,132.88, 31,906.90 and 15,965.52 is: 22,021.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,132.88 : 31,906.90 = 15,965.52 : x
  2. Step 2: Convert to fraction form
    23,132.88/31,906.90 = 15,965.52/x
  3. Step 3: Cross multiply
    23,132.88x = 31,906.90 × 15,965.52
  4. Step 4: Simplify right side
    23,132.88x = 509,410,250.09
  5. Step 5: Solve for x
    x = 509,410,250.09/23,132.88
  6. Step 6: Final answer
    x = 22,021.05

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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.