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Finding the Fourth Proportional to 14,792.14, 20,412.33 and 8,076.43

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Solution

The fourth proportional to 14,792.14, 20,412.33 and 8,076.43 is: 11,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,792.14 : 20,412.33 = 8,076.43 : x
  2. Step 2: Convert to fraction form
    14,792.14/20,412.33 = 8,076.43/x
  3. Step 3: Cross multiply
    14,792.14x = 20,412.33 × 8,076.43
  4. Step 4: Simplify right side
    14,792.14x = 164,858,754.38
  5. Step 5: Solve for x
    x = 164,858,754.38/14,792.14
  6. Step 6: Final answer
    x = 11,145.02

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Why These Related Problems?

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