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Finding the Fourth Proportional to 12,774.69, 17,622.63 and 7,466.04

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Solution

The fourth proportional to 12,774.69, 17,622.63 and 7,466.04 is: 10,299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.69 : 17,622.63 = 7,466.04 : x
  2. Step 2: Convert to fraction form
    12,774.69/17,622.63 = 7,466.04/x
  3. Step 3: Cross multiply
    12,774.69x = 17,622.63 × 7,466.04
  4. Step 4: Simplify right side
    12,774.69x = 131,571,260.49
  5. Step 5: Solve for x
    x = 131,571,260.49/12,774.69
  6. Step 6: Final answer
    x = 10,299.37

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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.