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Finding the Fourth Proportional to 20,184.75, 27,854.96 and 11,352.75

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Solution

The fourth proportional to 20,184.75, 27,854.96 and 11,352.75 is: 15,666.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184.75 : 27,854.96 = 11,352.75 : x
  2. Step 2: Convert to fraction form
    20,184.75/27,854.96 = 11,352.75/x
  3. Step 3: Cross multiply
    20,184.75x = 27,854.96 × 11,352.75
  4. Step 4: Simplify right side
    20,184.75x = 316,230,340.38
  5. Step 5: Solve for x
    x = 316,230,340.38/20,184.75
  6. Step 6: Final answer
    x = 15,666.80

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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.