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Finding the Fourth Proportional to 17,640.96, 26,463.58 and 7,782.72

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Solution

The fourth proportional to 17,640.96, 26,463.58 and 7,782.72 is: 11,675.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640.96 : 26,463.58 = 7,782.72 : x
  2. Step 2: Convert to fraction form
    17,640.96/26,463.58 = 7,782.72/x
  3. Step 3: Cross multiply
    17,640.96x = 26,463.58 × 7,782.72
  4. Step 4: Simplify right side
    17,640.96x = 205,958,633.34
  5. Step 5: Solve for x
    x = 205,958,633.34/17,640.96
  6. Step 6: Final answer
    x = 11,675.02

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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.