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Finding the Fourth Proportional to 27,408.66, 37,824.08 and 14,833.42

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Solution

The fourth proportional to 27,408.66, 37,824.08 and 14,833.42 is: 20,470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,408.66 : 37,824.08 = 14,833.42 : x
  2. Step 2: Convert to fraction form
    27,408.66/37,824.08 = 14,833.42/x
  3. Step 3: Cross multiply
    27,408.66x = 37,824.08 × 14,833.42
  4. Step 4: Simplify right side
    27,408.66x = 561,060,464.75
  5. Step 5: Solve for x
    x = 561,060,464.75/27,408.66
  6. Step 6: Final answer
    x = 20,470.19

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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.