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Finding the Fourth Proportional to 23,232.88, 34,849.50 and 5,702.86

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Solution

The fourth proportional to 23,232.88, 34,849.50 and 5,702.86 is: 8,554.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,232.88 : 34,849.50 = 5,702.86 : x
  2. Step 2: Convert to fraction form
    23,232.88/34,849.50 = 5,702.86/x
  3. Step 3: Cross multiply
    23,232.88x = 34,849.50 × 5,702.86
  4. Step 4: Simplify right side
    23,232.88x = 198,741,819.57
  5. Step 5: Solve for x
    x = 198,741,819.57/23,232.88
  6. Step 6: Final answer
    x = 8,554.33

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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.