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Finding the Fourth Proportional to 27,407.38, 37,822.12 and 14,832.14

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Solution

The fourth proportional to 27,407.38, 37,822.12 and 14,832.14 is: 20,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.38 : 37,822.12 = 14,832.14 : x
  2. Step 2: Convert to fraction form
    27,407.38/37,822.12 = 14,832.14/x
  3. Step 3: Cross multiply
    27,407.38x = 37,822.12 × 14,832.14
  4. Step 4: Simplify right side
    27,407.38x = 560,982,978.94
  5. Step 5: Solve for x
    x = 560,982,978.94/27,407.38
  6. Step 6: Final answer
    x = 20,468.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.