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Finding the Fourth Proportional to 16,850.94, 23,255.87 and 9,681.86

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Solution

The fourth proportional to 16,850.94, 23,255.87 and 9,681.86 is: 13,361.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,850.94 : 23,255.87 = 9,681.86 : x
  2. Step 2: Convert to fraction form
    16,850.94/23,255.87 = 9,681.86/x
  3. Step 3: Cross multiply
    16,850.94x = 23,255.87 × 9,681.86
  4. Step 4: Simplify right side
    16,850.94x = 225,160,077.52
  5. Step 5: Solve for x
    x = 225,160,077.52/16,850.94
  6. Step 6: Final answer
    x = 13,361.87

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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.