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Finding the Fourth Proportional to 20,376, 28,109.97 and 14,412.78

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Solution

The fourth proportional to 20,376, 28,109.97 and 14,412.78 is: 19,883.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,376 : 28,109.97 = 14,412.78 : x
  2. Step 2: Convert to fraction form
    20,376/28,109.97 = 14,412.78/x
  3. Step 3: Cross multiply
    20,376x = 28,109.97 × 14,412.78
  4. Step 4: Simplify right side
    20,376x = 405,142,813.42
  5. Step 5: Solve for x
    x = 405,142,813.42/20,376
  6. Step 6: Final answer
    x = 19,883.33

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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.