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Finding the Fourth Proportional to 12,777.42, 17,620.56 and 8,302.44

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Solution

The fourth proportional to 12,777.42, 17,620.56 and 8,302.44 is: 11,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.42 : 17,620.56 = 8,302.44 : x
  2. Step 2: Convert to fraction form
    12,777.42/17,620.56 = 8,302.44/x
  3. Step 3: Cross multiply
    12,777.42x = 17,620.56 × 8,302.44
  4. Step 4: Simplify right side
    12,777.42x = 146,293,642.17
  5. Step 5: Solve for x
    x = 146,293,642.17/12,777.42
  6. Step 6: Final answer
    x = 11,449.39

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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.