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Finding the Fourth Proportional to 17,854.14, 26,782.54 and 6,007.94

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Solution

The fourth proportional to 17,854.14, 26,782.54 and 6,007.94 is: 9,012.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.14 : 26,782.54 = 6,007.94 : x
  2. Step 2: Convert to fraction form
    17,854.14/26,782.54 = 6,007.94/x
  3. Step 3: Cross multiply
    17,854.14x = 26,782.54 × 6,007.94
  4. Step 4: Simplify right side
    17,854.14x = 160,907,893.37
  5. Step 5: Solve for x
    x = 160,907,893.37/17,854.14
  6. Step 6: Final answer
    x = 9,012.36

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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.