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Finding the Fourth Proportional to 12,714.40, 17,534.46 and 8,233.48

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Solution

The fourth proportional to 12,714.40, 17,534.46 and 8,233.48 is: 11,354.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.40 : 17,534.46 = 8,233.48 : x
  2. Step 2: Convert to fraction form
    12,714.40/17,534.46 = 8,233.48/x
  3. Step 3: Cross multiply
    12,714.40x = 17,534.46 × 8,233.48
  4. Step 4: Simplify right side
    12,714.40x = 144,369,625.72
  5. Step 5: Solve for x
    x = 144,369,625.72/12,714.40
  6. Step 6: Final answer
    x = 11,354.81

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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.