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Finding the Fourth Proportional to 17,714.48, 26,576.32 and 7,851.42

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Solution

The fourth proportional to 17,714.48, 26,576.32 and 7,851.42 is: 11,779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.48 : 26,576.32 = 7,851.42 : x
  2. Step 2: Convert to fraction form
    17,714.48/26,576.32 = 7,851.42/x
  3. Step 3: Cross multiply
    17,714.48x = 26,576.32 × 7,851.42
  4. Step 4: Simplify right side
    17,714.48x = 208,661,850.37
  5. Step 5: Solve for x
    x = 208,661,850.37/17,714.48
  6. Step 6: Final answer
    x = 11,779.17

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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.