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Finding the Fourth Proportional to 27,410.49, 37,826.48 and 14,835.24

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Solution

The fourth proportional to 27,410.49, 37,826.48 and 14,835.24 is: 20,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,410.49 : 37,826.48 = 14,835.24 : x
  2. Step 2: Convert to fraction form
    27,410.49/37,826.48 = 14,835.24/x
  3. Step 3: Cross multiply
    27,410.49x = 37,826.48 × 14,835.24
  4. Step 4: Simplify right side
    27,410.49x = 561,164,645.85
  5. Step 5: Solve for x
    x = 561,164,645.85/27,410.49
  6. Step 6: Final answer
    x = 20,472.63

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