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Finding the Fourth Proportional to 12,714.57, 19,080.77 and 5,224.10

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Solution

The fourth proportional to 12,714.57, 19,080.77 and 5,224.10 is: 7,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.57 : 19,080.77 = 5,224.10 : x
  2. Step 2: Convert to fraction form
    12,714.57/19,080.77 = 5,224.10/x
  3. Step 3: Cross multiply
    12,714.57x = 19,080.77 × 5,224.10
  4. Step 4: Simplify right side
    12,714.57x = 99,679,729.03
  5. Step 5: Solve for x
    x = 99,679,729.03/12,714.57
  6. Step 6: Final answer
    x = 7,839.80

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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.