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Finding the Fourth Proportional to 12,153.74, 16,771.83 and 6,848.24

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Solution

The fourth proportional to 12,153.74, 16,771.83 and 6,848.24 is: 9,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.74 : 16,771.83 = 6,848.24 : x
  2. Step 2: Convert to fraction form
    12,153.74/16,771.83 = 6,848.24/x
  3. Step 3: Cross multiply
    12,153.74x = 16,771.83 × 6,848.24
  4. Step 4: Simplify right side
    12,153.74x = 114,857,517.08
  5. Step 5: Solve for x
    x = 114,857,517.08/12,153.74
  6. Step 6: Final answer
    x = 9,450.38

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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.