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Finding the Fourth Proportional to 21,009.52, 31,514.17 and 12,119.09

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Solution

The fourth proportional to 21,009.52, 31,514.17 and 12,119.09 is: 18,178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,009.52 : 31,514.17 = 12,119.09 : x
  2. Step 2: Convert to fraction form
    21,009.52/31,514.17 = 12,119.09/x
  3. Step 3: Cross multiply
    21,009.52x = 31,514.17 × 12,119.09
  4. Step 4: Simplify right side
    21,009.52x = 381,923,062.51
  5. Step 5: Solve for x
    x = 381,923,062.51/21,009.52
  6. Step 6: Final answer
    x = 18,178.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.