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Finding the Fourth Proportional to 27,138.15, 40,713.30 and 8,419.05

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Solution

The fourth proportional to 27,138.15, 40,713.30 and 8,419.05 is: 12,630.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,138.15 : 40,713.30 = 8,419.05 : x
  2. Step 2: Convert to fraction form
    27,138.15/40,713.30 = 8,419.05/x
  3. Step 3: Cross multiply
    27,138.15x = 40,713.30 × 8,419.05
  4. Step 4: Simplify right side
    27,138.15x = 342,767,308.37
  5. Step 5: Solve for x
    x = 342,767,308.37/27,138.15
  6. Step 6: Final answer
    x = 12,630.46

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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.