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Finding the Fourth Proportional to 20,536.92, 28,341 and 11,584.08

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Solution

The fourth proportional to 20,536.92, 28,341 and 11,584.08 is: 15,986.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,536.92 : 28,341 = 11,584.08 : x
  2. Step 2: Convert to fraction form
    20,536.92/28,341 = 11,584.08/x
  3. Step 3: Cross multiply
    20,536.92x = 28,341 × 11,584.08
  4. Step 4: Simplify right side
    20,536.92x = 328,304,411.28
  5. Step 5: Solve for x
    x = 328,304,411.28/20,536.92
  6. Step 6: Final answer
    x = 15,986.06

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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.