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Finding the Fourth Proportional to 14,201.38, 19,596.20 and 8,232.23

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Solution

The fourth proportional to 14,201.38, 19,596.20 and 8,232.23 is: 11,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.38 : 19,596.20 = 8,232.23 : x
  2. Step 2: Convert to fraction form
    14,201.38/19,596.20 = 8,232.23/x
  3. Step 3: Cross multiply
    14,201.38x = 19,596.20 × 8,232.23
  4. Step 4: Simplify right side
    14,201.38x = 161,320,502.81
  5. Step 5: Solve for x
    x = 161,320,502.81/14,201.38
  6. Step 6: Final answer
    x = 11,359.50

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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.