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Finding the Fourth Proportional to 12,714.39, 17,534.97 and 7,677.54

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Solution

The fourth proportional to 12,714.39, 17,534.97 and 7,677.54 is: 10,588.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.39 : 17,534.97 = 7,677.54 : x
  2. Step 2: Convert to fraction form
    12,714.39/17,534.97 = 7,677.54/x
  3. Step 3: Cross multiply
    12,714.39x = 17,534.97 × 7,677.54
  4. Step 4: Simplify right side
    12,714.39x = 134,625,433.57
  5. Step 5: Solve for x
    x = 134,625,433.57/12,714.39
  6. Step 6: Final answer
    x = 10,588.43

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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.