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Finding the Fourth Proportional to 11,809.20, 17,713.80 and 10,714.80

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Solution

The fourth proportional to 11,809.20, 17,713.80 and 10,714.80 is: 16,072.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.20 : 17,713.80 = 10,714.80 : x
  2. Step 2: Convert to fraction form
    11,809.20/17,713.80 = 10,714.80/x
  3. Step 3: Cross multiply
    11,809.20x = 17,713.80 × 10,714.80
  4. Step 4: Simplify right side
    11,809.20x = 189,799,824.24
  5. Step 5: Solve for x
    x = 189,799,824.24/11,809.20
  6. Step 6: Final answer
    x = 16,072.20

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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.