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Finding the Fourth Proportional to 12,769.68, 17,622.58 and 7,734.84

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Solution

The fourth proportional to 12,769.68, 17,622.58 and 7,734.84 is: 10,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769.68 : 17,622.58 = 7,734.84 : x
  2. Step 2: Convert to fraction form
    12,769.68/17,622.58 = 7,734.84/x
  3. Step 3: Cross multiply
    12,769.68x = 17,622.58 × 7,734.84
  4. Step 4: Simplify right side
    12,769.68x = 136,307,836.69
  5. Step 5: Solve for x
    x = 136,307,836.69/12,769.68
  6. Step 6: Final answer
    x = 10,674.33

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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.