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Finding the Fourth Proportional to 13,284, 19,927.44 and 4,519.56

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Solution

The fourth proportional to 13,284, 19,927.44 and 4,519.56 is: 6,779.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284 : 19,927.44 = 4,519.56 : x
  2. Step 2: Convert to fraction form
    13,284/19,927.44 = 4,519.56/x
  3. Step 3: Cross multiply
    13,284x = 19,927.44 × 4,519.56
  4. Step 4: Simplify right side
    13,284x = 90,063,260.73
  5. Step 5: Solve for x
    x = 90,063,260.73/13,284
  6. Step 6: Final answer
    x = 6,779.83

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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.