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Finding the Fourth Proportional to 22,422.01, 30,941.74 and 12,863.50

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Solution

The fourth proportional to 22,422.01, 30,941.74 and 12,863.50 is: 17,751.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,422.01 : 30,941.74 = 12,863.50 : x
  2. Step 2: Convert to fraction form
    22,422.01/30,941.74 = 12,863.50/x
  3. Step 3: Cross multiply
    22,422.01x = 30,941.74 × 12,863.50
  4. Step 4: Simplify right side
    22,422.01x = 398,019,072.49
  5. Step 5: Solve for x
    x = 398,019,072.49/22,422.01
  6. Step 6: Final answer
    x = 17,751.27

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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.