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Finding the Fourth Proportional to 13,712.51, 20,576.82 and 8,714.68

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Solution

The fourth proportional to 13,712.51, 20,576.82 and 8,714.68 is: 13,077.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.51 : 20,576.82 = 8,714.68 : x
  2. Step 2: Convert to fraction form
    13,712.51/20,576.82 = 8,714.68/x
  3. Step 3: Cross multiply
    13,712.51x = 20,576.82 × 8,714.68
  4. Step 4: Simplify right side
    13,712.51x = 179,320,401.72
  5. Step 5: Solve for x
    x = 179,320,401.72/13,712.51
  6. Step 6: Final answer
    x = 13,077.14

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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.