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Finding the Fourth Proportional to 27,407.46, 37,822.26 and 14,832.18

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Solution

The fourth proportional to 27,407.46, 37,822.26 and 14,832.18 is: 20,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.46 : 37,822.26 = 14,832.18 : x
  2. Step 2: Convert to fraction form
    27,407.46/37,822.26 = 14,832.18/x
  3. Step 3: Cross multiply
    27,407.46x = 37,822.26 × 14,832.18
  4. Step 4: Simplify right side
    27,407.46x = 560,986,568.33
  5. Step 5: Solve for x
    x = 560,986,568.33/27,407.46
  6. Step 6: Final answer
    x = 20,468.39

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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.