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Finding the Fourth Proportional to 16,784, 23,161.92 and 9,331.84

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Solution

The fourth proportional to 16,784, 23,161.92 and 9,331.84 is: 12,877.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,784 : 23,161.92 = 9,331.84 : x
  2. Step 2: Convert to fraction form
    16,784/23,161.92 = 9,331.84/x
  3. Step 3: Cross multiply
    16,784x = 23,161.92 × 9,331.84
  4. Step 4: Simplify right side
    16,784x = 216,143,331.53
  5. Step 5: Solve for x
    x = 216,143,331.53/16,784
  6. Step 6: Final answer
    x = 12,877.94

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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.