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Finding the Fourth Proportional to 27,411.75, 37,828.22 and 14,836.50

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Solution

The fourth proportional to 27,411.75, 37,828.22 and 14,836.50 is: 20,474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,411.75 : 37,828.22 = 14,836.50 : x
  2. Step 2: Convert to fraction form
    27,411.75/37,828.22 = 14,836.50/x
  3. Step 3: Cross multiply
    27,411.75x = 37,828.22 × 14,836.50
  4. Step 4: Simplify right side
    27,411.75x = 561,238,311.85
  5. Step 5: Solve for x
    x = 561,238,311.85/27,411.75
  6. Step 6: Final answer
    x = 20,474.37

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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.