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Finding the Fourth Proportional to 16,825.41, 23,219.07 and 9,755.94

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Solution

The fourth proportional to 16,825.41, 23,219.07 and 9,755.94 is: 13,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,825.41 : 23,219.07 = 9,755.94 : x
  2. Step 2: Convert to fraction form
    16,825.41/23,219.07 = 9,755.94/x
  3. Step 3: Cross multiply
    16,825.41x = 23,219.07 × 9,755.94
  4. Step 4: Simplify right side
    16,825.41x = 226,523,853.78
  5. Step 5: Solve for x
    x = 226,523,853.78/16,825.41
  6. Step 6: Final answer
    x = 13,463.20

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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.