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Finding the Fourth Proportional to 13,174.22, 19,684 and 12,714.86

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Solution

The fourth proportional to 13,174.22, 19,684 and 12,714.86 is: 18,997.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.22 : 19,684 = 12,714.86 : x
  2. Step 2: Convert to fraction form
    13,174.22/19,684 = 12,714.86/x
  3. Step 3: Cross multiply
    13,174.22x = 19,684 × 12,714.86
  4. Step 4: Simplify right side
    13,174.22x = 250,279,304.24
  5. Step 5: Solve for x
    x = 250,279,304.24/13,174.22
  6. Step 6: Final answer
    x = 18,997.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.