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Finding the Fourth Proportional to 19,671.86, 27,147.15 and 11,714.42

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Solution

The fourth proportional to 19,671.86, 27,147.15 and 11,714.42 is: 16,165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,671.86 : 27,147.15 = 11,714.42 : x
  2. Step 2: Convert to fraction form
    19,671.86/27,147.15 = 11,714.42/x
  3. Step 3: Cross multiply
    19,671.86x = 27,147.15 × 11,714.42
  4. Step 4: Simplify right side
    19,671.86x = 318,013,184.77
  5. Step 5: Solve for x
    x = 318,013,184.77/19,671.86
  6. Step 6: Final answer
    x = 16,165.89

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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.