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Finding the Fourth Proportional to 13,809.70, 20,714.55 and 13,204.90

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Solution

The fourth proportional to 13,809.70, 20,714.55 and 13,204.90 is: 19,807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.70 : 20,714.55 = 13,204.90 : x
  2. Step 2: Convert to fraction form
    13,809.70/20,714.55 = 13,204.90/x
  3. Step 3: Cross multiply
    13,809.70x = 20,714.55 × 13,204.90
  4. Step 4: Simplify right side
    13,809.70x = 273,533,561.30
  5. Step 5: Solve for x
    x = 273,533,561.30/13,809.70
  6. Step 6: Final answer
    x = 19,807.35

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