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Finding the Fourth Proportional to 12,714.22, 17,536.26 and 7,408.72

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Solution

The fourth proportional to 12,714.22, 17,536.26 and 7,408.72 is: 10,218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.22 : 17,536.26 = 7,408.72 : x
  2. Step 2: Convert to fraction form
    12,714.22/17,536.26 = 7,408.72/x
  3. Step 3: Cross multiply
    12,714.22x = 17,536.26 × 7,408.72
  4. Step 4: Simplify right side
    12,714.22x = 129,921,240.19
  5. Step 5: Solve for x
    x = 129,921,240.19/12,714.22
  6. Step 6: Final answer
    x = 10,218.58

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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.