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Finding the Fourth Proportional to 20,522.86, 28,321.80 and 11,568.58

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Solution

The fourth proportional to 20,522.86, 28,321.80 and 11,568.58 is: 15,964.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,522.86 : 28,321.80 = 11,568.58 : x
  2. Step 2: Convert to fraction form
    20,522.86/28,321.80 = 11,568.58/x
  3. Step 3: Cross multiply
    20,522.86x = 28,321.80 × 11,568.58
  4. Step 4: Simplify right side
    20,522.86x = 327,643,009.04
  5. Step 5: Solve for x
    x = 327,643,009.04/20,522.86
  6. Step 6: Final answer
    x = 15,964.78

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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.