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Finding the Fourth Proportional to 19,536.39, 29,308.64 and 7,850.52

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Solution

The fourth proportional to 19,536.39, 29,308.64 and 7,850.52 is: 11,777.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,536.39 : 29,308.64 = 7,850.52 : x
  2. Step 2: Convert to fraction form
    19,536.39/29,308.64 = 7,850.52/x
  3. Step 3: Cross multiply
    19,536.39x = 29,308.64 × 7,850.52
  4. Step 4: Simplify right side
    19,536.39x = 230,088,025.24
  5. Step 5: Solve for x
    x = 230,088,025.24/19,536.39
  6. Step 6: Final answer
    x = 11,777.41

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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.