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Finding the Fourth Proportional to 19,666.10, 27,137.90 and 12,112.86

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Solution

The fourth proportional to 19,666.10, 27,137.90 and 12,112.86 is: 16,714.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.10 : 27,137.90 = 12,112.86 : x
  2. Step 2: Convert to fraction form
    19,666.10/27,137.90 = 12,112.86/x
  3. Step 3: Cross multiply
    19,666.10x = 27,137.90 × 12,112.86
  4. Step 4: Simplify right side
    19,666.10x = 328,717,583.39
  5. Step 5: Solve for x
    x = 328,717,583.39/19,666.10
  6. Step 6: Final answer
    x = 16,714.94

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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.