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Finding the Fourth Proportional to 13,809.80, 20,714.70 and 12,880.33

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Solution

The fourth proportional to 13,809.80, 20,714.70 and 12,880.33 is: 19,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.80 : 20,714.70 = 12,880.33 : x
  2. Step 2: Convert to fraction form
    13,809.80/20,714.70 = 12,880.33/x
  3. Step 3: Cross multiply
    13,809.80x = 20,714.70 × 12,880.33
  4. Step 4: Simplify right side
    13,809.80x = 266,812,171.85
  5. Step 5: Solve for x
    x = 266,812,171.85/13,809.80
  6. Step 6: Final answer
    x = 19,320.50

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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.