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Finding the Fourth Proportional to 16,675.50, 23,012.43 and 9,223.98

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Solution

The fourth proportional to 16,675.50, 23,012.43 and 9,223.98 is: 12,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,675.50 : 23,012.43 = 9,223.98 : x
  2. Step 2: Convert to fraction form
    16,675.50/23,012.43 = 9,223.98/x
  3. Step 3: Cross multiply
    16,675.50x = 23,012.43 × 9,223.98
  4. Step 4: Simplify right side
    16,675.50x = 212,266,194.07
  5. Step 5: Solve for x
    x = 212,266,194.07/16,675.50
  6. Step 6: Final answer
    x = 12,729.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.