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Finding the Fourth Proportional to 12,920.43, 19,357.68 and 5,407.44

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Solution

The fourth proportional to 12,920.43, 19,357.68 and 5,407.44 is: 8,101.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.43 : 19,357.68 = 5,407.44 : x
  2. Step 2: Convert to fraction form
    12,920.43/19,357.68 = 5,407.44/x
  3. Step 3: Cross multiply
    12,920.43x = 19,357.68 × 5,407.44
  4. Step 4: Simplify right side
    12,920.43x = 104,675,493.14
  5. Step 5: Solve for x
    x = 104,675,493.14/12,920.43
  6. Step 6: Final answer
    x = 8,101.55

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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.