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Finding the Fourth Proportional to 12,338.12, 17,026.26 and 6,749

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Solution

The fourth proportional to 12,338.12, 17,026.26 and 6,749 is: 9,313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.12 : 17,026.26 = 6,749 : x
  2. Step 2: Convert to fraction form
    12,338.12/17,026.26 = 6,749/x
  3. Step 3: Cross multiply
    12,338.12x = 17,026.26 × 6,749
  4. Step 4: Simplify right side
    12,338.12x = 114,910,228.74
  5. Step 5: Solve for x
    x = 114,910,228.74/12,338.12
  6. Step 6: Final answer
    x = 9,313.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.