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Finding the Fourth Proportional to 26,952.54, 40,430.25 and 8,233.14

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Solution

The fourth proportional to 26,952.54, 40,430.25 and 8,233.14 is: 12,350.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,952.54 : 40,430.25 = 8,233.14 : x
  2. Step 2: Convert to fraction form
    26,952.54/40,430.25 = 8,233.14/x
  3. Step 3: Cross multiply
    26,952.54x = 40,430.25 × 8,233.14
  4. Step 4: Simplify right side
    26,952.54x = 332,867,908.49
  5. Step 5: Solve for x
    x = 332,867,908.49/26,952.54
  6. Step 6: Final answer
    x = 12,350.15

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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.