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Finding the Fourth Proportional to 27,769.89, 41,602.36 and 13,713.50

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Solution

The fourth proportional to 27,769.89, 41,602.36 and 13,713.50 is: 20,544.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,769.89 : 41,602.36 = 13,713.50 : x
  2. Step 2: Convert to fraction form
    27,769.89/41,602.36 = 13,713.50/x
  3. Step 3: Cross multiply
    27,769.89x = 41,602.36 × 13,713.50
  4. Step 4: Simplify right side
    27,769.89x = 570,514,059.29
  5. Step 5: Solve for x
    x = 570,514,059.29/27,769.89
  6. Step 6: Final answer
    x = 20,544.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.