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Finding the Fourth Proportional to 12,674.97, 17,491.68 and 7,009.63

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Solution

The fourth proportional to 12,674.97, 17,491.68 and 7,009.63 is: 9,673.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.97 : 17,491.68 = 7,009.63 : x
  2. Step 2: Convert to fraction form
    12,674.97/17,491.68 = 7,009.63/x
  3. Step 3: Cross multiply
    12,674.97x = 17,491.68 × 7,009.63
  4. Step 4: Simplify right side
    12,674.97x = 122,610,204.88
  5. Step 5: Solve for x
    x = 122,610,204.88/12,674.97
  6. Step 6: Final answer
    x = 9,673.41

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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.