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Finding the Fourth Proportional to 19,419.96, 29,137.32 and 7,741.44

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Solution

The fourth proportional to 19,419.96, 29,137.32 and 7,741.44 is: 11,615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,419.96 : 29,137.32 = 7,741.44 : x
  2. Step 2: Convert to fraction form
    19,419.96/29,137.32 = 7,741.44/x
  3. Step 3: Cross multiply
    19,419.96x = 29,137.32 × 7,741.44
  4. Step 4: Simplify right side
    19,419.96x = 225,564,814.54
  5. Step 5: Solve for x
    x = 225,564,814.54/19,419.96
  6. Step 6: Final answer
    x = 11,615.10

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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.