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Finding the Fourth Proportional to 27,844.96, 38,425.36 and 15,097.44

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Solution

The fourth proportional to 27,844.96, 38,425.36 and 15,097.44 is: 20,834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,844.96 : 38,425.36 = 15,097.44 : x
  2. Step 2: Convert to fraction form
    27,844.96/38,425.36 = 15,097.44/x
  3. Step 3: Cross multiply
    27,844.96x = 38,425.36 × 15,097.44
  4. Step 4: Simplify right side
    27,844.96x = 580,124,567.08
  5. Step 5: Solve for x
    x = 580,124,567.08/27,844.96
  6. Step 6: Final answer
    x = 20,834.10

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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.