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Finding the Fourth Proportional to 13,902.08, 20,833.92 and 11,310.08

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Solution

The fourth proportional to 13,902.08, 20,833.92 and 11,310.08 is: 16,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.08 : 20,833.92 = 11,310.08 : x
  2. Step 2: Convert to fraction form
    13,902.08/20,833.92 = 11,310.08/x
  3. Step 3: Cross multiply
    13,902.08x = 20,833.92 × 11,310.08
  4. Step 4: Simplify right side
    13,902.08x = 235,633,301.91
  5. Step 5: Solve for x
    x = 235,633,301.91/13,902.08
  6. Step 6: Final answer
    x = 16,949.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.