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Finding the Fourth Proportional to 23,817.80, 35,728.75 and 6,287.63

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Solution

The fourth proportional to 23,817.80, 35,728.75 and 6,287.63 is: 9,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,817.80 : 35,728.75 = 6,287.63 : x
  2. Step 2: Convert to fraction form
    23,817.80/35,728.75 = 6,287.63/x
  3. Step 3: Cross multiply
    23,817.80x = 35,728.75 × 6,287.63
  4. Step 4: Simplify right side
    23,817.80x = 224,648,954.21
  5. Step 5: Solve for x
    x = 224,648,954.21/23,817.80
  6. Step 6: Final answer
    x = 9,431.98

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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.