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Finding the Fourth Proportional to 14,136.44, 21,164.34 and 11,219

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Solution

The fourth proportional to 14,136.44, 21,164.34 and 11,219 is: 16,796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,136.44 : 21,164.34 = 11,219 : x
  2. Step 2: Convert to fraction form
    14,136.44/21,164.34 = 11,219/x
  3. Step 3: Cross multiply
    14,136.44x = 21,164.34 × 11,219
  4. Step 4: Simplify right side
    14,136.44x = 237,442,730.46
  5. Step 5: Solve for x
    x = 237,442,730.46/14,136.44
  6. Step 6: Final answer
    x = 16,796.50

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Why These Related Problems?

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