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Finding the Fourth Proportional to 12,996, 17,936.24 and 7,331.91

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Solution

The fourth proportional to 12,996, 17,936.24 and 7,331.91 is: 10,119.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996 : 17,936.24 = 7,331.91 : x
  2. Step 2: Convert to fraction form
    12,996/17,936.24 = 7,331.91/x
  3. Step 3: Cross multiply
    12,996x = 17,936.24 × 7,331.91
  4. Step 4: Simplify right side
    12,996x = 131,506,860.76
  5. Step 5: Solve for x
    x = 131,506,860.76/12,996
  6. Step 6: Final answer
    x = 10,119.03

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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.