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Finding the Fourth Proportional to 19,493.81, 29,245.59 and 5,642.81

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Solution

The fourth proportional to 19,493.81, 29,245.59 and 5,642.81 is: 8,465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,493.81 : 29,245.59 = 5,642.81 : x
  2. Step 2: Convert to fraction form
    19,493.81/29,245.59 = 5,642.81/x
  3. Step 3: Cross multiply
    19,493.81x = 29,245.59 × 5,642.81
  4. Step 4: Simplify right side
    19,493.81x = 165,027,380.82
  5. Step 5: Solve for x
    x = 165,027,380.82/19,493.81
  6. Step 6: Final answer
    x = 8,465.63

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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.