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Finding the Fourth Proportional to 12,714.57, 17,546.67 and 8,458.80

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Solution

The fourth proportional to 12,714.57, 17,546.67 and 8,458.80 is: 11,673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.57 : 17,546.67 = 8,458.80 : x
  2. Step 2: Convert to fraction form
    12,714.57/17,546.67 = 8,458.80/x
  3. Step 3: Cross multiply
    12,714.57x = 17,546.67 × 8,458.80
  4. Step 4: Simplify right side
    12,714.57x = 148,423,772.20
  5. Step 5: Solve for x
    x = 148,423,772.20/12,714.57
  6. Step 6: Final answer
    x = 11,673.52

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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.