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Finding the Fourth Proportional to 23,782.54, 35,674.12 and 8,998.42

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Solution

The fourth proportional to 23,782.54, 35,674.12 and 8,998.42 is: 13,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.54 : 35,674.12 = 8,998.42 : x
  2. Step 2: Convert to fraction form
    23,782.54/35,674.12 = 8,998.42/x
  3. Step 3: Cross multiply
    23,782.54x = 35,674.12 × 8,998.42
  4. Step 4: Simplify right side
    23,782.54x = 321,010,714.89
  5. Step 5: Solve for x
    x = 321,010,714.89/23,782.54
  6. Step 6: Final answer
    x = 13,497.75

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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.