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Finding the Fourth Proportional to 20,907.82, 28,853.42 and 11,833.80

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Solution

The fourth proportional to 20,907.82, 28,853.42 and 11,833.80 is: 16,330.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,907.82 : 28,853.42 = 11,833.80 : x
  2. Step 2: Convert to fraction form
    20,907.82/28,853.42 = 11,833.80/x
  3. Step 3: Cross multiply
    20,907.82x = 28,853.42 × 11,833.80
  4. Step 4: Simplify right side
    20,907.82x = 341,445,434.23
  5. Step 5: Solve for x
    x = 341,445,434.23/20,907.82
  6. Step 6: Final answer
    x = 16,330.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.