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Finding the Fourth Proportional to 17,640.95, 26,463.59 and 7,782.71

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Solution

The fourth proportional to 17,640.95, 26,463.59 and 7,782.71 is: 11,675.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640.95 : 26,463.59 = 7,782.71 : x
  2. Step 2: Convert to fraction form
    17,640.95/26,463.59 = 7,782.71/x
  3. Step 3: Cross multiply
    17,640.95x = 26,463.59 × 7,782.71
  4. Step 4: Simplify right side
    17,640.95x = 205,958,446.53
  5. Step 5: Solve for x
    x = 205,958,446.53/17,640.95
  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.