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Finding the Fourth Proportional to 20,851.91, 28,775.81 and 11,899.31

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Solution

The fourth proportional to 20,851.91, 28,775.81 and 11,899.31 is: 16,421.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,851.91 : 28,775.81 = 11,899.31 : x
  2. Step 2: Convert to fraction form
    20,851.91/28,775.81 = 11,899.31/x
  3. Step 3: Cross multiply
    20,851.91x = 28,775.81 × 11,899.31
  4. Step 4: Simplify right side
    20,851.91x = 342,412,385.38
  5. Step 5: Solve for x
    x = 342,412,385.38/20,851.91
  6. Step 6: Final answer
    x = 16,421.16

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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.