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Finding the Fourth Proportional to 21,160.80, 31,728.44 and 11,173.50

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Solution

The fourth proportional to 21,160.80, 31,728.44 and 11,173.50 is: 16,753.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,160.80 : 31,728.44 = 11,173.50 : x
  2. Step 2: Convert to fraction form
    21,160.80/31,728.44 = 11,173.50/x
  3. Step 3: Cross multiply
    21,160.80x = 31,728.44 × 11,173.50
  4. Step 4: Simplify right side
    21,160.80x = 354,517,724.34
  5. Step 5: Solve for x
    x = 354,517,724.34/21,160.80
  6. Step 6: Final answer
    x = 16,753.51

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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.