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Finding the Fourth Proportional to 19,836.42, 29,742.62 and 7,814.18

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Solution

The fourth proportional to 19,836.42, 29,742.62 and 7,814.18 is: 11,716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,836.42 : 29,742.62 = 7,814.18 : x
  2. Step 2: Convert to fraction form
    19,836.42/29,742.62 = 7,814.18/x
  3. Step 3: Cross multiply
    19,836.42x = 29,742.62 × 7,814.18
  4. Step 4: Simplify right side
    19,836.42x = 232,414,186.35
  5. Step 5: Solve for x
    x = 232,414,186.35/19,836.42
  6. Step 6: Final answer
    x = 11,716.54

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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.