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Finding the Fourth Proportional to 20,135.58, 27,785.07 and 11,756.94

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Solution

The fourth proportional to 20,135.58, 27,785.07 and 11,756.94 is: 16,223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,135.58 : 27,785.07 = 11,756.94 : x
  2. Step 2: Convert to fraction form
    20,135.58/27,785.07 = 11,756.94/x
  3. Step 3: Cross multiply
    20,135.58x = 27,785.07 × 11,756.94
  4. Step 4: Simplify right side
    20,135.58x = 326,667,400.89
  5. Step 5: Solve for x
    x = 326,667,400.89/20,135.58
  6. Step 6: Final answer
    x = 16,223.39

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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.