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Finding the Fourth Proportional to 23,680.85, 35,523.02 and 6,813.18

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Solution

The fourth proportional to 23,680.85, 35,523.02 and 6,813.18 is: 10,220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,680.85 : 35,523.02 = 6,813.18 : x
  2. Step 2: Convert to fraction form
    23,680.85/35,523.02 = 6,813.18/x
  3. Step 3: Cross multiply
    23,680.85x = 35,523.02 × 6,813.18
  4. Step 4: Simplify right side
    23,680.85x = 242,024,551.79
  5. Step 5: Solve for x
    x = 242,024,551.79/23,680.85
  6. Step 6: Final answer
    x = 10,220.26

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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.