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Finding the Fourth Proportional to 27,400.25, 37,812.35 and 14,825

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Solution

The fourth proportional to 27,400.25, 37,812.35 and 14,825 is: 20,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,400.25 : 37,812.35 = 14,825 : x
  2. Step 2: Convert to fraction form
    27,400.25/37,812.35 = 14,825/x
  3. Step 3: Cross multiply
    27,400.25x = 37,812.35 × 14,825
  4. Step 4: Simplify right side
    27,400.25x = 560,568,088.75
  5. Step 5: Solve for x
    x = 560,568,088.75/27,400.25
  6. Step 6: Final answer
    x = 20,458.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.