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Finding the Fourth Proportional to 26,945.94, 40,421.20 and 8,230.16

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Solution

The fourth proportional to 26,945.94, 40,421.20 and 8,230.16 is: 12,345.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,945.94 : 40,421.20 = 8,230.16 : x
  2. Step 2: Convert to fraction form
    26,945.94/40,421.20 = 8,230.16/x
  3. Step 3: Cross multiply
    26,945.94x = 40,421.20 × 8,230.16
  4. Step 4: Simplify right side
    26,945.94x = 332,672,943.39
  5. Step 5: Solve for x
    x = 332,672,943.39/26,945.94
  6. Step 6: Final answer
    x = 12,345.94

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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.