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Finding the Fourth Proportional to 23,803.22, 35,708.07 and 8,222.06

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Solution

The fourth proportional to 23,803.22, 35,708.07 and 8,222.06 is: 12,334.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,803.22 : 35,708.07 = 8,222.06 : x
  2. Step 2: Convert to fraction form
    23,803.22/35,708.07 = 8,222.06/x
  3. Step 3: Cross multiply
    23,803.22x = 35,708.07 × 8,222.06
  4. Step 4: Simplify right side
    23,803.22x = 293,593,715.48
  5. Step 5: Solve for x
    x = 293,593,715.48/23,803.22
  6. Step 6: Final answer
    x = 12,334.20

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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.