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Finding the Fourth Proportional to 11,817.96, 17,724.96 and 3,497.88

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Solution

The fourth proportional to 11,817.96, 17,724.96 and 3,497.88 is: 5,246.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.96 : 17,724.96 = 3,497.88 : x
  2. Step 2: Convert to fraction form
    11,817.96/17,724.96 = 3,497.88/x
  3. Step 3: Cross multiply
    11,817.96x = 17,724.96 × 3,497.88
  4. Step 4: Simplify right side
    11,817.96x = 61,999,783.08
  5. Step 5: Solve for x
    x = 61,999,783.08/11,817.96
  6. Step 6: Final answer
    x = 5,246.23

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Why These Related Problems?

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