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Finding the Fourth Proportional to 20,792.88, 31,190.40 and 10,401.12

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Solution

The fourth proportional to 20,792.88, 31,190.40 and 10,401.12 is: 15,602.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,792.88 : 31,190.40 = 10,401.12 : x
  2. Step 2: Convert to fraction form
    20,792.88/31,190.40 = 10,401.12/x
  3. Step 3: Cross multiply
    20,792.88x = 31,190.40 × 10,401.12
  4. Step 4: Simplify right side
    20,792.88x = 324,415,093.25
  5. Step 5: Solve for x
    x = 324,415,093.25/20,792.88
  6. Step 6: Final answer
    x = 15,602.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.