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Finding the Fourth Proportional to 23,090.75, 31,850.06 and 15,920.97

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Solution

The fourth proportional to 23,090.75, 31,850.06 and 15,920.97 is: 21,960.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,090.75 : 31,850.06 = 15,920.97 : x
  2. Step 2: Convert to fraction form
    23,090.75/31,850.06 = 15,920.97/x
  3. Step 3: Cross multiply
    23,090.75x = 31,850.06 × 15,920.97
  4. Step 4: Simplify right side
    23,090.75x = 507,083,889.56
  5. Step 5: Solve for x
    x = 507,083,889.56/23,090.75
  6. Step 6: Final answer
    x = 21,960.47

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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.