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Finding the Fourth Proportional to 20,055.76, 27,677.64 and 11,674

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Solution

The fourth proportional to 20,055.76, 27,677.64 and 11,674 is: 16,110.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,055.76 : 27,677.64 = 11,674 : x
  2. Step 2: Convert to fraction form
    20,055.76/27,677.64 = 11,674/x
  3. Step 3: Cross multiply
    20,055.76x = 27,677.64 × 11,674
  4. Step 4: Simplify right side
    20,055.76x = 323,108,769.36
  5. Step 5: Solve for x
    x = 323,108,769.36/20,055.76
  6. Step 6: Final answer
    x = 16,110.52

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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.