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Finding the Fourth Proportional to 20,048.50, 27,667.33 and 11,095.77

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Solution

The fourth proportional to 20,048.50, 27,667.33 and 11,095.77 is: 15,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,048.50 : 27,667.33 = 11,095.77 : x
  2. Step 2: Convert to fraction form
    20,048.50/27,667.33 = 11,095.77/x
  3. Step 3: Cross multiply
    20,048.50x = 27,667.33 × 11,095.77
  4. Step 4: Simplify right side
    20,048.50x = 306,990,330.19
  5. Step 5: Solve for x
    x = 306,990,330.19/20,048.50
  6. Step 6: Final answer
    x = 15,312.38

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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.