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Finding the Fourth Proportional to 27,348.97, 40,998.81 and 9,814.67

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Solution

The fourth proportional to 27,348.97, 40,998.81 and 9,814.67 is: 14,713.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,348.97 : 40,998.81 = 9,814.67 : x
  2. Step 2: Convert to fraction form
    27,348.97/40,998.81 = 9,814.67/x
  3. Step 3: Cross multiply
    27,348.97x = 40,998.81 × 9,814.67
  4. Step 4: Simplify right side
    27,348.97x = 402,389,790.54
  5. Step 5: Solve for x
    x = 402,389,790.54/27,348.97
  6. Step 6: Final answer
    x = 14,713.16

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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.