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Finding the Fourth Proportional to 23,813.10, 35,722.02 and 8,824.22

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Solution

The fourth proportional to 23,813.10, 35,722.02 and 8,824.22 is: 13,237.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.10 : 35,722.02 = 8,824.22 : x
  2. Step 2: Convert to fraction form
    23,813.10/35,722.02 = 8,824.22/x
  3. Step 3: Cross multiply
    23,813.10x = 35,722.02 × 8,824.22
  4. Step 4: Simplify right side
    23,813.10x = 315,218,963.32
  5. Step 5: Solve for x
    x = 315,218,963.32/23,813.10
  6. Step 6: Final answer
    x = 13,237.21

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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.