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Finding the Fourth Proportional to 29,714.50, 44,589.30 and 11,007.64

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Solution

The fourth proportional to 29,714.50, 44,589.30 and 11,007.64 is: 16,517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,714.50 : 44,589.30 = 11,007.64 : x
  2. Step 2: Convert to fraction form
    29,714.50/44,589.30 = 11,007.64/x
  3. Step 3: Cross multiply
    29,714.50x = 44,589.30 × 11,007.64
  4. Step 4: Simplify right side
    29,714.50x = 490,822,962.25
  5. Step 5: Solve for x
    x = 490,822,962.25/29,714.50
  6. Step 6: Final answer
    x = 16,517.96

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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.