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Finding the Fourth Proportional to 12,768.66, 19,153.98 and 4,003.50

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Solution

The fourth proportional to 12,768.66, 19,153.98 and 4,003.50 is: 6,005.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.66 : 19,153.98 = 4,003.50 : x
  2. Step 2: Convert to fraction form
    12,768.66/19,153.98 = 4,003.50/x
  3. Step 3: Cross multiply
    12,768.66x = 19,153.98 × 4,003.50
  4. Step 4: Simplify right side
    12,768.66x = 76,682,958.93
  5. Step 5: Solve for x
    x = 76,682,958.93/12,768.66
  6. Step 6: Final answer
    x = 6,005.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.