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Finding the Fourth Proportional to 20,208, 27,887.04 and 11,376

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Solution

The fourth proportional to 20,208, 27,887.04 and 11,376 is: 15,698.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,208 : 27,887.04 = 11,376 : x
  2. Step 2: Convert to fraction form
    20,208/27,887.04 = 11,376/x
  3. Step 3: Cross multiply
    20,208x = 27,887.04 × 11,376
  4. Step 4: Simplify right side
    20,208x = 317,242,967.04
  5. Step 5: Solve for x
    x = 317,242,967.04/20,208
  6. Step 6: Final answer
    x = 15,698.88

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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.