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Finding the Fourth Proportional to 17,683.34, 26,519.31 and 5,834.35

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Solution

The fourth proportional to 17,683.34, 26,519.31 and 5,834.35 is: 8,749.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683.34 : 26,519.31 = 5,834.35 : x
  2. Step 2: Convert to fraction form
    17,683.34/26,519.31 = 5,834.35/x
  3. Step 3: Cross multiply
    17,683.34x = 26,519.31 × 5,834.35
  4. Step 4: Simplify right side
    17,683.34x = 154,723,052.24
  5. Step 5: Solve for x
    x = 154,723,052.24/17,683.34
  6. Step 6: Final answer
    x = 8,749.65

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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.