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Finding the Fourth Proportional to 19,814.83, 29,713.60 and 7,494.19

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Solution

The fourth proportional to 19,814.83, 29,713.60 and 7,494.19 is: 11,238.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.83 : 29,713.60 = 7,494.19 : x
  2. Step 2: Convert to fraction form
    19,814.83/29,713.60 = 7,494.19/x
  3. Step 3: Cross multiply
    19,814.83x = 29,713.60 × 7,494.19
  4. Step 4: Simplify right side
    19,814.83x = 222,679,299.07
  5. Step 5: Solve for x
    x = 222,679,299.07/19,814.83
  6. Step 6: Final answer
    x = 11,238.01

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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.