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Finding the Fourth Proportional to 20,009.64, 27,614.92 and 11,514.48

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Solution

The fourth proportional to 20,009.64, 27,614.92 and 11,514.48 is: 15,890.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009.64 : 27,614.92 = 11,514.48 : x
  2. Step 2: Convert to fraction form
    20,009.64/27,614.92 = 11,514.48/x
  3. Step 3: Cross multiply
    20,009.64x = 27,614.92 × 11,514.48
  4. Step 4: Simplify right side
    20,009.64x = 317,971,444.04
  5. Step 5: Solve for x
    x = 317,971,444.04/20,009.64
  6. Step 6: Final answer
    x = 15,890.91

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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.