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Finding the Fourth Proportional to 16,647.46, 22,972.47 and 9,092.26

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Solution

The fourth proportional to 16,647.46, 22,972.47 and 9,092.26 is: 12,546.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,647.46 : 22,972.47 = 9,092.26 : x
  2. Step 2: Convert to fraction form
    16,647.46/22,972.47 = 9,092.26/x
  3. Step 3: Cross multiply
    16,647.46x = 22,972.47 × 9,092.26
  4. Step 4: Simplify right side
    16,647.46x = 208,871,555.22
  5. Step 5: Solve for x
    x = 208,871,555.22/16,647.46
  6. Step 6: Final answer
    x = 12,546.76

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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.