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Finding the Fourth Proportional to 20,785.67, 28,677.06 and 11,830.89

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Solution

The fourth proportional to 20,785.67, 28,677.06 and 11,830.89 is: 16,322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,785.67 : 28,677.06 = 11,830.89 : x
  2. Step 2: Convert to fraction form
    20,785.67/28,677.06 = 11,830.89/x
  3. Step 3: Cross multiply
    20,785.67x = 28,677.06 × 11,830.89
  4. Step 4: Simplify right side
    20,785.67x = 339,275,142.38
  5. Step 5: Solve for x
    x = 339,275,142.38/20,785.67
  6. Step 6: Final answer
    x = 16,322.55

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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.