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Finding the Fourth Proportional to 11,817.56, 17,724.96 and 3,051.78

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Solution

The fourth proportional to 11,817.56, 17,724.96 and 3,051.78 is: 4,577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.56 : 17,724.96 = 3,051.78 : x
  2. Step 2: Convert to fraction form
    11,817.56/17,724.96 = 3,051.78/x
  3. Step 3: Cross multiply
    11,817.56x = 17,724.96 × 3,051.78
  4. Step 4: Simplify right side
    11,817.56x = 54,092,678.43
  5. Step 5: Solve for x
    x = 54,092,678.43/11,817.56
  6. Step 6: Final answer
    x = 4,577.32

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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.