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Finding the Fourth Proportional to 27,078.96, 40,619.52 and 8,357.34

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Solution

The fourth proportional to 27,078.96, 40,619.52 and 8,357.34 is: 12,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,078.96 : 40,619.52 = 8,357.34 : x
  2. Step 2: Convert to fraction form
    27,078.96/40,619.52 = 8,357.34/x
  3. Step 3: Cross multiply
    27,078.96x = 40,619.52 × 8,357.34
  4. Step 4: Simplify right side
    27,078.96x = 339,471,139.28
  5. Step 5: Solve for x
    x = 339,471,139.28/27,078.96
  6. Step 6: Final answer
    x = 12,536.34

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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.