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Finding the Fourth Proportional to 17,678.26, 26,520.47 and 7,147.86

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Solution

The fourth proportional to 17,678.26, 26,520.47 and 7,147.86 is: 10,723.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.26 : 26,520.47 = 7,147.86 : x
  2. Step 2: Convert to fraction form
    17,678.26/26,520.47 = 7,147.86/x
  3. Step 3: Cross multiply
    17,678.26x = 26,520.47 × 7,147.86
  4. Step 4: Simplify right side
    17,678.26x = 189,564,498.31
  5. Step 5: Solve for x
    x = 189,564,498.31/17,678.26
  6. Step 6: Final answer
    x = 10,723.03

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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.