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Finding the Fourth Proportional to 16,189.72, 22,342.20 and 10,600.72

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Solution

The fourth proportional to 16,189.72, 22,342.20 and 10,600.72 is: 14,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.72 : 22,342.20 = 10,600.72 : x
  2. Step 2: Convert to fraction form
    16,189.72/22,342.20 = 10,600.72/x
  3. Step 3: Cross multiply
    16,189.72x = 22,342.20 × 10,600.72
  4. Step 4: Simplify right side
    16,189.72x = 236,843,406.38
  5. Step 5: Solve for x
    x = 236,843,406.38/16,189.72
  6. Step 6: Final answer
    x = 14,629.25

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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.