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Finding the Fourth Proportional to 12,768.83, 17,615.84 and 8,050.38

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Solution

The fourth proportional to 12,768.83, 17,615.84 and 8,050.38 is: 11,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.83 : 17,615.84 = 8,050.38 : x
  2. Step 2: Convert to fraction form
    12,768.83/17,615.84 = 8,050.38/x
  3. Step 3: Cross multiply
    12,768.83x = 17,615.84 × 8,050.38
  4. Step 4: Simplify right side
    12,768.83x = 141,814,206.02
  5. Step 5: Solve for x
    x = 141,814,206.02/12,768.83
  6. Step 6: Final answer
    x = 11,106.28

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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.