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Finding the Fourth Proportional to 11,634.50, 17,451.50 and 2,869.49

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Solution

The fourth proportional to 11,634.50, 17,451.50 and 2,869.49 is: 4,304.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.50 : 17,451.50 = 2,869.49 : x
  2. Step 2: Convert to fraction form
    11,634.50/17,451.50 = 2,869.49/x
  3. Step 3: Cross multiply
    11,634.50x = 17,451.50 × 2,869.49
  4. Step 4: Simplify right side
    11,634.50x = 50,076,803.13
  5. Step 5: Solve for x
    x = 50,076,803.13/11,634.50
  6. Step 6: Final answer
    x = 4,304.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.