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Finding the Fourth Proportional to 12,346.22, 17,037.65 and 6,680.84

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Solution

The fourth proportional to 12,346.22, 17,037.65 and 6,680.84 is: 9,219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.22 : 17,037.65 = 6,680.84 : x
  2. Step 2: Convert to fraction form
    12,346.22/17,037.65 = 6,680.84/x
  3. Step 3: Cross multiply
    12,346.22x = 17,037.65 × 6,680.84
  4. Step 4: Simplify right side
    12,346.22x = 113,825,771.45
  5. Step 5: Solve for x
    x = 113,825,771.45/12,346.22
  6. Step 6: Final answer
    x = 9,219.49

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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.