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Finding the Fourth Proportional to 12,928.44, 19,398.42 and 6,771

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Solution

The fourth proportional to 12,928.44, 19,398.42 and 6,771 is: 10,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,928.44 : 19,398.42 = 6,771 : x
  2. Step 2: Convert to fraction form
    12,928.44/19,398.42 = 6,771/x
  3. Step 3: Cross multiply
    12,928.44x = 19,398.42 × 6,771
  4. Step 4: Simplify right side
    12,928.44x = 131,346,701.82
  5. Step 5: Solve for x
    x = 131,346,701.82/12,928.44
  6. Step 6: Final answer
    x = 10,159.52

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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.