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Finding the Fourth Proportional to 26,882.16, 37,097.81 and 14,783.14

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Solution

The fourth proportional to 26,882.16, 37,097.81 and 14,783.14 is: 20,400.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,882.16 : 37,097.81 = 14,783.14 : x
  2. Step 2: Convert to fraction form
    26,882.16/37,097.81 = 14,783.14/x
  3. Step 3: Cross multiply
    26,882.16x = 37,097.81 × 14,783.14
  4. Step 4: Simplify right side
    26,882.16x = 548,422,118.92
  5. Step 5: Solve for x
    x = 548,422,118.92/26,882.16
  6. Step 6: Final answer
    x = 20,400.97

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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.