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Finding the Fourth Proportional to 20,047.65, 27,668.69 and 11,548.12

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Solution

The fourth proportional to 20,047.65, 27,668.69 and 11,548.12 is: 15,938.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.65 : 27,668.69 = 11,548.12 : x
  2. Step 2: Convert to fraction form
    20,047.65/27,668.69 = 11,548.12/x
  3. Step 3: Cross multiply
    20,047.65x = 27,668.69 × 11,548.12
  4. Step 4: Simplify right side
    20,047.65x = 319,521,352.36
  5. Step 5: Solve for x
    x = 319,521,352.36/20,047.65
  6. Step 6: Final answer
    x = 15,938.10

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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.