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Finding the Fourth Proportional to 16,164.75, 22,301.55 and 10,194.24

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Solution

The fourth proportional to 16,164.75, 22,301.55 and 10,194.24 is: 14,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.75 : 22,301.55 = 10,194.24 : x
  2. Step 2: Convert to fraction form
    16,164.75/22,301.55 = 10,194.24/x
  3. Step 3: Cross multiply
    16,164.75x = 22,301.55 × 10,194.24
  4. Step 4: Simplify right side
    16,164.75x = 227,347,353.07
  5. Step 5: Solve for x
    x = 227,347,353.07/16,164.75
  6. Step 6: Final answer
    x = 14,064.39

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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.