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Finding the Fourth Proportional to 23,793.16, 32,833.48 and 13,038

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Solution

The fourth proportional to 23,793.16, 32,833.48 and 13,038 is: 17,991.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,793.16 : 32,833.48 = 13,038 : x
  2. Step 2: Convert to fraction form
    23,793.16/32,833.48 = 13,038/x
  3. Step 3: Cross multiply
    23,793.16x = 32,833.48 × 13,038
  4. Step 4: Simplify right side
    23,793.16x = 428,082,912.24
  5. Step 5: Solve for x
    x = 428,082,912.24/23,793.16
  6. Step 6: Final answer
    x = 17,991.85

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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.