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Finding the Fourth Proportional to 14,213.44, 19,616.40 and 10,247.68

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Solution

The fourth proportional to 14,213.44, 19,616.40 and 10,247.68 is: 14,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.44 : 19,616.40 = 10,247.68 : x
  2. Step 2: Convert to fraction form
    14,213.44/19,616.40 = 10,247.68/x
  3. Step 3: Cross multiply
    14,213.44x = 19,616.40 × 10,247.68
  4. Step 4: Simplify right side
    14,213.44x = 201,022,589.95
  5. Step 5: Solve for x
    x = 201,022,589.95/14,213.44
  6. Step 6: Final answer
    x = 14,143.13

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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.