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Finding the Fourth Proportional to 16,880.42, 23,294.88 and 9,327.27

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Solution

The fourth proportional to 16,880.42, 23,294.88 and 9,327.27 is: 12,871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,880.42 : 23,294.88 = 9,327.27 : x
  2. Step 2: Convert to fraction form
    16,880.42/23,294.88 = 9,327.27/x
  3. Step 3: Cross multiply
    16,880.42x = 23,294.88 × 9,327.27
  4. Step 4: Simplify right side
    16,880.42x = 217,277,635.38
  5. Step 5: Solve for x
    x = 217,277,635.38/16,880.42
  6. Step 6: Final answer
    x = 12,871.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.