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Finding the Fourth Proportional to 24,716.75, 37,040.49 and 13,628.66

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Solution

The fourth proportional to 24,716.75, 37,040.49 and 13,628.66 is: 20,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,716.75 : 37,040.49 = 13,628.66 : x
  2. Step 2: Convert to fraction form
    24,716.75/37,040.49 = 13,628.66/x
  3. Step 3: Cross multiply
    24,716.75x = 37,040.49 × 13,628.66
  4. Step 4: Simplify right side
    24,716.75x = 504,812,059.24
  5. Step 5: Solve for x
    x = 504,812,059.24/24,716.75
  6. Step 6: Final answer
    x = 20,423.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.