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Finding the Fourth Proportional to 24,584.96, 33,927.26 and 13,406.96

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Solution

The fourth proportional to 24,584.96, 33,927.26 and 13,406.96 is: 18,501.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,584.96 : 33,927.26 = 13,406.96 : x
  2. Step 2: Convert to fraction form
    24,584.96/33,927.26 = 13,406.96/x
  3. Step 3: Cross multiply
    24,584.96x = 33,927.26 × 13,406.96
  4. Step 4: Simplify right side
    24,584.96x = 454,861,417.73
  5. Step 5: Solve for x
    x = 454,861,417.73/24,584.96
  6. Step 6: Final answer
    x = 18,501.61

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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.