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Finding the Fourth Proportional to 16,820.70, 23,211.95 and 9,745.75

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Solution

The fourth proportional to 16,820.70, 23,211.95 and 9,745.75 is: 13,448.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,820.70 : 23,211.95 = 9,745.75 : x
  2. Step 2: Convert to fraction form
    16,820.70/23,211.95 = 9,745.75/x
  3. Step 3: Cross multiply
    16,820.70x = 23,211.95 × 9,745.75
  4. Step 4: Simplify right side
    16,820.70x = 226,217,812.98
  5. Step 5: Solve for x
    x = 226,217,812.98/16,820.70
  6. Step 6: Final answer
    x = 13,448.78

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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.