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Finding the Fourth Proportional to 12,770.68, 17,622.39 and 7,105.18

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Solution

The fourth proportional to 12,770.68, 17,622.39 and 7,105.18 is: 9,804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.68 : 17,622.39 = 7,105.18 : x
  2. Step 2: Convert to fraction form
    12,770.68/17,622.39 = 7,105.18/x
  3. Step 3: Cross multiply
    12,770.68x = 17,622.39 × 7,105.18
  4. Step 4: Simplify right side
    12,770.68x = 125,210,252.98
  5. Step 5: Solve for x
    x = 125,210,252.98/12,770.68
  6. Step 6: Final answer
    x = 9,804.51

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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.