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Finding the Fourth Proportional to 20,164.48, 27,820.56 and 12,204.16

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Solution

The fourth proportional to 20,164.48, 27,820.56 and 12,204.16 is: 16,837.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.48 : 27,820.56 = 12,204.16 : x
  2. Step 2: Convert to fraction form
    20,164.48/27,820.56 = 12,204.16/x
  3. Step 3: Cross multiply
    20,164.48x = 27,820.56 × 12,204.16
  4. Step 4: Simplify right side
    20,164.48x = 339,526,565.53
  5. Step 5: Solve for x
    x = 339,526,565.53/20,164.48
  6. Step 6: Final answer
    x = 16,837.85

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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.