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Finding the Fourth Proportional to 23,811.22, 35,713.32 and 6,282.28

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Solution

The fourth proportional to 23,811.22, 35,713.32 and 6,282.28 is: 9,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,811.22 : 35,713.32 = 6,282.28 : x
  2. Step 2: Convert to fraction form
    23,811.22/35,713.32 = 6,282.28/x
  3. Step 3: Cross multiply
    23,811.22x = 35,713.32 × 6,282.28
  4. Step 4: Simplify right side
    23,811.22x = 224,361,075.97
  5. Step 5: Solve for x
    x = 224,361,075.97/23,811.22
  6. Step 6: Final answer
    x = 9,422.49

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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.