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Finding the Fourth Proportional to 23,884.85, 35,827.22 and 6,354.67

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Solution

The fourth proportional to 23,884.85, 35,827.22 and 6,354.67 is: 9,531.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.85 : 35,827.22 = 6,354.67 : x
  2. Step 2: Convert to fraction form
    23,884.85/35,827.22 = 6,354.67/x
  3. Step 3: Cross multiply
    23,884.85x = 35,827.22 × 6,354.67
  4. Step 4: Simplify right side
    23,884.85x = 227,670,160.12
  5. Step 5: Solve for x
    x = 227,670,160.12/23,884.85
  6. Step 6: Final answer
    x = 9,531.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.