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Finding the Fourth Proportional to 20,056.65, 27,678.56 and 11,103.90

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Solution

The fourth proportional to 20,056.65, 27,678.56 and 11,103.90 is: 15,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,056.65 : 27,678.56 = 11,103.90 : x
  2. Step 2: Convert to fraction form
    20,056.65/27,678.56 = 11,103.90/x
  3. Step 3: Cross multiply
    20,056.65x = 27,678.56 × 11,103.90
  4. Step 4: Simplify right side
    20,056.65x = 307,339,962.38
  5. Step 5: Solve for x
    x = 307,339,962.38/20,056.65
  6. Step 6: Final answer
    x = 15,323.59

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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.