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Finding the Fourth Proportional to 27,059.78, 40,593.54 and 8,341.40

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Solution

The fourth proportional to 27,059.78, 40,593.54 and 8,341.40 is: 12,513.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,059.78 : 40,593.54 = 8,341.40 : x
  2. Step 2: Convert to fraction form
    27,059.78/40,593.54 = 8,341.40/x
  3. Step 3: Cross multiply
    27,059.78x = 40,593.54 × 8,341.40
  4. Step 4: Simplify right side
    27,059.78x = 338,606,954.56
  5. Step 5: Solve for x
    x = 338,606,954.56/27,059.78
  6. Step 6: Final answer
    x = 12,513.29

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