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Finding the Fourth Proportional to 11,917.74, 17,874.45 and 4,019.16

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Solution

The fourth proportional to 11,917.74, 17,874.45 and 4,019.16 is: 6,028.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.74 : 17,874.45 = 4,019.16 : x
  2. Step 2: Convert to fraction form
    11,917.74/17,874.45 = 4,019.16/x
  3. Step 3: Cross multiply
    11,917.74x = 17,874.45 × 4,019.16
  4. Step 4: Simplify right side
    11,917.74x = 71,840,274.46
  5. Step 5: Solve for x
    x = 71,840,274.46/11,917.74
  6. Step 6: Final answer
    x = 6,028.01

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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.