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Finding the Fourth Proportional to 20,840.85, 28,760.38 and 11,409.41

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Solution

The fourth proportional to 20,840.85, 28,760.38 and 11,409.41 is: 15,744.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,840.85 : 28,760.38 = 11,409.41 : x
  2. Step 2: Convert to fraction form
    20,840.85/28,760.38 = 11,409.41/x
  3. Step 3: Cross multiply
    20,840.85x = 28,760.38 × 11,409.41
  4. Step 4: Simplify right side
    20,840.85x = 328,138,967.18
  5. Step 5: Solve for x
    x = 328,138,967.18/20,840.85
  6. Step 6: Final answer
    x = 15,744.99

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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.