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Finding the Fourth Proportional to 20,920.80, 28,869.84 and 13,356.48

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Solution

The fourth proportional to 20,920.80, 28,869.84 and 13,356.48 is: 18,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,920.80 : 28,869.84 = 13,356.48 : x
  2. Step 2: Convert to fraction form
    20,920.80/28,869.84 = 13,356.48/x
  3. Step 3: Cross multiply
    20,920.80x = 28,869.84 × 13,356.48
  4. Step 4: Simplify right side
    20,920.80x = 385,599,440.56
  5. Step 5: Solve for x
    x = 385,599,440.56/20,920.80
  6. Step 6: Final answer
    x = 18,431.39

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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.