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Finding the Fourth Proportional to 19,856.70, 27,379.09 and 14,812.16

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Solution

The fourth proportional to 19,856.70, 27,379.09 and 14,812.16 is: 20,423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,856.70 : 27,379.09 = 14,812.16 : x
  2. Step 2: Convert to fraction form
    19,856.70/27,379.09 = 14,812.16/x
  3. Step 3: Cross multiply
    19,856.70x = 27,379.09 × 14,812.16
  4. Step 4: Simplify right side
    19,856.70x = 405,543,438.03
  5. Step 5: Solve for x
    x = 405,543,438.03/19,856.70
  6. Step 6: Final answer
    x = 20,423.51

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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.