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Finding the Fourth Proportional to 16,760.38, 23,129.89 and 9,591.48

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Solution

The fourth proportional to 16,760.38, 23,129.89 and 9,591.48 is: 13,236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,760.38 : 23,129.89 = 9,591.48 : x
  2. Step 2: Convert to fraction form
    16,760.38/23,129.89 = 9,591.48/x
  3. Step 3: Cross multiply
    16,760.38x = 23,129.89 × 9,591.48
  4. Step 4: Simplify right side
    16,760.38x = 221,849,877.34
  5. Step 5: Solve for x
    x = 221,849,877.34/16,760.38
  6. Step 6: Final answer
    x = 13,236.57

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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.