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Finding the Fourth Proportional to 23,830.94, 35,766.57 and 9,798.50

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Solution

The fourth proportional to 23,830.94, 35,766.57 and 9,798.50 is: 14,706.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.94 : 35,766.57 = 9,798.50 : x
  2. Step 2: Convert to fraction form
    23,830.94/35,766.57 = 9,798.50/x
  3. Step 3: Cross multiply
    23,830.94x = 35,766.57 × 9,798.50
  4. Step 4: Simplify right side
    23,830.94x = 350,458,736.15
  5. Step 5: Solve for x
    x = 350,458,736.15/23,830.94
  6. Step 6: Final answer
    x = 14,706.04

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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.