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Finding the Fourth Proportional to 27,865, 38,453.76 and 15,289.80

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Solution

The fourth proportional to 27,865, 38,453.76 and 15,289.80 is: 21,099.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,865 : 38,453.76 = 15,289.80 : x
  2. Step 2: Convert to fraction form
    27,865/38,453.76 = 15,289.80/x
  3. Step 3: Cross multiply
    27,865x = 38,453.76 × 15,289.80
  4. Step 4: Simplify right side
    27,865x = 587,950,299.65
  5. Step 5: Solve for x
    x = 587,950,299.65/27,865
  6. Step 6: Final answer
    x = 21,099.96

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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.