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Finding the Fourth Proportional to 23,866.69, 35,770.63 and 9,817.95

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Solution

The fourth proportional to 23,866.69, 35,770.63 and 9,817.95 is: 14,714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,866.69 : 35,770.63 = 9,817.95 : x
  2. Step 2: Convert to fraction form
    23,866.69/35,770.63 = 9,817.95/x
  3. Step 3: Cross multiply
    23,866.69x = 35,770.63 × 9,817.95
  4. Step 4: Simplify right side
    23,866.69x = 351,194,179.65
  5. Step 5: Solve for x
    x = 351,194,179.65/23,866.69
  6. Step 6: Final answer
    x = 14,714.83

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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.