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Finding the Fourth Proportional to 17,706.30, 26,571.75 and 11,450.77

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Solution

The fourth proportional to 17,706.30, 26,571.75 and 11,450.77 is: 17,184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.30 : 26,571.75 = 11,450.77 : x
  2. Step 2: Convert to fraction form
    17,706.30/26,571.75 = 11,450.77/x
  3. Step 3: Cross multiply
    17,706.30x = 26,571.75 × 11,450.77
  4. Step 4: Simplify right side
    17,706.30x = 304,266,888.38
  5. Step 5: Solve for x
    x = 304,266,888.38/17,706.30
  6. Step 6: Final answer
    x = 17,184.11

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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.