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Finding the Fourth Proportional to 27,313.12, 40,971.47 and 8,593.87

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Solution

The fourth proportional to 27,313.12, 40,971.47 and 8,593.87 is: 12,891.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,313.12 : 40,971.47 = 8,593.87 : x
  2. Step 2: Convert to fraction form
    27,313.12/40,971.47 = 8,593.87/x
  3. Step 3: Cross multiply
    27,313.12x = 40,971.47 × 8,593.87
  4. Step 4: Simplify right side
    27,313.12x = 352,103,581.89
  5. Step 5: Solve for x
    x = 352,103,581.89/27,313.12
  6. Step 6: Final answer
    x = 12,891.37

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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.