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Finding the Fourth Proportional to 17,783.26, 26,678.74 and 9,462.07

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Solution

The fourth proportional to 17,783.26, 26,678.74 and 9,462.07 is: 14,195.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783.26 : 26,678.74 = 9,462.07 : x
  2. Step 2: Convert to fraction form
    17,783.26/26,678.74 = 9,462.07/x
  3. Step 3: Cross multiply
    17,783.26x = 26,678.74 × 9,462.07
  4. Step 4: Simplify right side
    17,783.26x = 252,436,105.39
  5. Step 5: Solve for x
    x = 252,436,105.39/17,783.26
  6. Step 6: Final answer
    x = 14,195.16

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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.