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Finding the Fourth Proportional to 20,537.27, 28,339.02 and 11,584.24

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Solution

The fourth proportional to 20,537.27, 28,339.02 and 11,584.24 is: 15,984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537.27 : 28,339.02 = 11,584.24 : x
  2. Step 2: Convert to fraction form
    20,537.27/28,339.02 = 11,584.24/x
  3. Step 3: Cross multiply
    20,537.27x = 28,339.02 × 11,584.24
  4. Step 4: Simplify right side
    20,537.27x = 328,285,938.20
  5. Step 5: Solve for x
    x = 328,285,938.20/20,537.27
  6. Step 6: Final answer
    x = 15,984.89

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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.