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Finding the Fourth Proportional to 23,845.38, 35,763.99 and 6,316.98

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Solution

The fourth proportional to 23,845.38, 35,763.99 and 6,316.98 is: 9,474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,845.38 : 35,763.99 = 6,316.98 : x
  2. Step 2: Convert to fraction form
    23,845.38/35,763.99 = 6,316.98/x
  3. Step 3: Cross multiply
    23,845.38x = 35,763.99 × 6,316.98
  4. Step 4: Simplify right side
    23,845.38x = 225,920,409.55
  5. Step 5: Solve for x
    x = 225,920,409.55/23,845.38
  6. Step 6: Final answer
    x = 9,474.39

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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.