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Finding the Fourth Proportional to 14,213.68, 19,619.21 and 8,247.72

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Solution

The fourth proportional to 14,213.68, 19,619.21 and 8,247.72 is: 11,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.68 : 19,619.21 = 8,247.72 : x
  2. Step 2: Convert to fraction form
    14,213.68/19,619.21 = 8,247.72/x
  3. Step 3: Cross multiply
    14,213.68x = 19,619.21 × 8,247.72
  4. Step 4: Simplify right side
    14,213.68x = 161,813,844.89
  5. Step 5: Solve for x
    x = 161,813,844.89/14,213.68
  6. Step 6: Final answer
    x = 11,384.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.