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Finding the Fourth Proportional to 20,244.16, 27,926.71 and 13,538.71

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Solution

The fourth proportional to 20,244.16, 27,926.71 and 13,538.71 is: 18,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,244.16 : 27,926.71 = 13,538.71 : x
  2. Step 2: Convert to fraction form
    20,244.16/27,926.71 = 13,538.71/x
  3. Step 3: Cross multiply
    20,244.16x = 27,926.71 × 13,538.71
  4. Step 4: Simplify right side
    20,244.16x = 378,091,627.94
  5. Step 5: Solve for x
    x = 378,091,627.94/20,244.16
  6. Step 6: Final answer
    x = 18,676.58

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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.