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Finding the Fourth Proportional to 27,394.47, 41,097.29 and 12,394.39

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Solution

The fourth proportional to 27,394.47, 41,097.29 and 12,394.39 is: 18,594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,394.47 : 41,097.29 = 12,394.39 : x
  2. Step 2: Convert to fraction form
    27,394.47/41,097.29 = 12,394.39/x
  3. Step 3: Cross multiply
    27,394.47x = 41,097.29 × 12,394.39
  4. Step 4: Simplify right side
    27,394.47x = 509,375,840.20
  5. Step 5: Solve for x
    x = 509,375,840.20/27,394.47
  6. Step 6: Final answer
    x = 18,594.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.