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Finding the Fourth Proportional to 20,536.54, 28,340.28 and 11,584.12

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Solution

The fourth proportional to 20,536.54, 28,340.28 and 11,584.12 is: 15,986.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,536.54 : 28,340.28 = 11,584.12 : x
  2. Step 2: Convert to fraction form
    20,536.54/28,340.28 = 11,584.12/x
  3. Step 3: Cross multiply
    20,536.54x = 28,340.28 × 11,584.12
  4. Step 4: Simplify right side
    20,536.54x = 328,297,204.35
  5. Step 5: Solve for x
    x = 328,297,204.35/20,536.54
  6. Step 6: Final answer
    x = 15,986.00

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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.