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Finding the Fourth Proportional to 20,083.75, 27,714.49 and 11,130.72

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Solution

The fourth proportional to 20,083.75, 27,714.49 and 11,130.72 is: 15,359.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,083.75 : 27,714.49 = 11,130.72 : x
  2. Step 2: Convert to fraction form
    20,083.75/27,714.49 = 11,130.72/x
  3. Step 3: Cross multiply
    20,083.75x = 27,714.49 × 11,130.72
  4. Step 4: Simplify right side
    20,083.75x = 308,482,096.38
  5. Step 5: Solve for x
    x = 308,482,096.38/20,083.75
  6. Step 6: Final answer
    x = 15,359.79

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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.