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Finding the Fourth Proportional to 16,094.41, 22,198.08 and 14,101.50

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Solution

The fourth proportional to 16,094.41, 22,198.08 and 14,101.50 is: 19,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,094.41 : 22,198.08 = 14,101.50 : x
  2. Step 2: Convert to fraction form
    16,094.41/22,198.08 = 14,101.50/x
  3. Step 3: Cross multiply
    16,094.41x = 22,198.08 × 14,101.50
  4. Step 4: Simplify right side
    16,094.41x = 313,026,308.36
  5. Step 5: Solve for x
    x = 313,026,308.36/16,094.41
  6. Step 6: Final answer
    x = 19,449.38

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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.