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Finding the Fourth Proportional to 11,751.84, 17,629.40 and 3,432.46

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Solution

The fourth proportional to 11,751.84, 17,629.40 and 3,432.46 is: 5,149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.84 : 17,629.40 = 3,432.46 : x
  2. Step 2: Convert to fraction form
    11,751.84/17,629.40 = 3,432.46/x
  3. Step 3: Cross multiply
    11,751.84x = 17,629.40 × 3,432.46
  4. Step 4: Simplify right side
    11,751.84x = 60,512,218.91
  5. Step 5: Solve for x
    x = 60,512,218.91/11,751.84
  6. Step 6: Final answer
    x = 5,149.17

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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.