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Finding the Fourth Proportional to 17,832.16, 26,714.16 and 10,814.32

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Solution

The fourth proportional to 17,832.16, 26,714.16 and 10,814.32 is: 16,200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832.16 : 26,714.16 = 10,814.32 : x
  2. Step 2: Convert to fraction form
    17,832.16/26,714.16 = 10,814.32/x
  3. Step 3: Cross multiply
    17,832.16x = 26,714.16 × 10,814.32
  4. Step 4: Simplify right side
    17,832.16x = 288,895,474.77
  5. Step 5: Solve for x
    x = 288,895,474.77/17,832.16
  6. Step 6: Final answer
    x = 16,200.81

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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.