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Finding the Fourth Proportional to 12,714.39, 17,546.90 and 7,050.92

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Solution

The fourth proportional to 12,714.39, 17,546.90 and 7,050.92 is: 9,730.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.39 : 17,546.90 = 7,050.92 : x
  2. Step 2: Convert to fraction form
    12,714.39/17,546.90 = 7,050.92/x
  3. Step 3: Cross multiply
    12,714.39x = 17,546.90 × 7,050.92
  4. Step 4: Simplify right side
    12,714.39x = 123,721,665.16
  5. Step 5: Solve for x
    x = 123,721,665.16/12,714.39
  6. Step 6: Final answer
    x = 9,730.84

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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.