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Finding the Fourth Proportional to 26,854.56, 40,272.12 and 10,219.08

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Solution

The fourth proportional to 26,854.56, 40,272.12 and 10,219.08 is: 15,324.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,854.56 : 40,272.12 = 10,219.08 : x
  2. Step 2: Convert to fraction form
    26,854.56/40,272.12 = 10,219.08/x
  3. Step 3: Cross multiply
    26,854.56x = 40,272.12 × 10,219.08
  4. Step 4: Simplify right side
    26,854.56x = 411,544,016.05
  5. Step 5: Solve for x
    x = 411,544,016.05/26,854.56
  6. Step 6: Final answer
    x = 15,324.92

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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.