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Finding the Fourth Proportional to 23,744.88, 35,604.15 and 9,714.75

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Solution

The fourth proportional to 23,744.88, 35,604.15 and 9,714.75 is: 14,566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,744.88 : 35,604.15 = 9,714.75 : x
  2. Step 2: Convert to fraction form
    23,744.88/35,604.15 = 9,714.75/x
  3. Step 3: Cross multiply
    23,744.88x = 35,604.15 × 9,714.75
  4. Step 4: Simplify right side
    23,744.88x = 345,885,238.19
  5. Step 5: Solve for x
    x = 345,885,238.19/23,744.88
  6. Step 6: Final answer
    x = 14,566.73

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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.