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Finding the Fourth Proportional to 19,256.25, 28,884.38 and 6,944.25

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Solution

The fourth proportional to 19,256.25, 28,884.38 and 6,944.25 is: 10,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,256.25 : 28,884.38 = 6,944.25 : x
  2. Step 2: Convert to fraction form
    19,256.25/28,884.38 = 6,944.25/x
  3. Step 3: Cross multiply
    19,256.25x = 28,884.38 × 6,944.25
  4. Step 4: Simplify right side
    19,256.25x = 200,580,355.82
  5. Step 5: Solve for x
    x = 200,580,355.82/19,256.25
  6. Step 6: Final answer
    x = 10,416.38

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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.