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Finding the Fourth Proportional to 19,666.12, 27,129.72 and 11,705.44

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Solution

The fourth proportional to 19,666.12, 27,129.72 and 11,705.44 is: 16,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.12 : 27,129.72 = 11,705.44 : x
  2. Step 2: Convert to fraction form
    19,666.12/27,129.72 = 11,705.44/x
  3. Step 3: Cross multiply
    19,666.12x = 27,129.72 × 11,705.44
  4. Step 4: Simplify right side
    19,666.12x = 317,565,309.68
  5. Step 5: Solve for x
    x = 317,565,309.68/19,666.12
  6. Step 6: Final answer
    x = 16,147.84

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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.