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Finding the Fourth Proportional to 27,448.25, 37,878.63 and 14,873

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Solution

The fourth proportional to 27,448.25, 37,878.63 and 14,873 is: 20,524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,448.25 : 37,878.63 = 14,873 : x
  2. Step 2: Convert to fraction form
    27,448.25/37,878.63 = 14,873/x
  3. Step 3: Cross multiply
    27,448.25x = 37,878.63 × 14,873
  4. Step 4: Simplify right side
    27,448.25x = 563,368,863.99
  5. Step 5: Solve for x
    x = 563,368,863.99/27,448.25
  6. Step 6: Final answer
    x = 20,524.76

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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.