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Finding the Fourth Proportional to 12,150, 16,771.32 and 8,426.16

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Solution

The fourth proportional to 12,150, 16,771.32 and 8,426.16 is: 11,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,150 : 16,771.32 = 8,426.16 : x
  2. Step 2: Convert to fraction form
    12,150/16,771.32 = 8,426.16/x
  3. Step 3: Cross multiply
    12,150x = 16,771.32 × 8,426.16
  4. Step 4: Simplify right side
    12,150x = 141,317,825.73
  5. Step 5: Solve for x
    x = 141,317,825.73/12,150
  6. Step 6: Final answer
    x = 11,631.10

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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.