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Finding the Fourth Proportional to 12,714.09, 17,539.21 and 11,033.14

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Solution

The fourth proportional to 12,714.09, 17,539.21 and 11,033.14 is: 15,220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.09 : 17,539.21 = 11,033.14 : x
  2. Step 2: Convert to fraction form
    12,714.09/17,539.21 = 11,033.14/x
  3. Step 3: Cross multiply
    12,714.09x = 17,539.21 × 11,033.14
  4. Step 4: Simplify right side
    12,714.09x = 193,512,529.36
  5. Step 5: Solve for x
    x = 193,512,529.36/12,714.09
  6. Step 6: Final answer
    x = 15,220.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.