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Finding the Fourth Proportional to 20,176.94, 27,843.40 and 11,224.15

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Solution

The fourth proportional to 20,176.94, 27,843.40 and 11,224.15 is: 15,488.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,176.94 : 27,843.40 = 11,224.15 : x
  2. Step 2: Convert to fraction form
    20,176.94/27,843.40 = 11,224.15/x
  3. Step 3: Cross multiply
    20,176.94x = 27,843.40 × 11,224.15
  4. Step 4: Simplify right side
    20,176.94x = 312,518,498.11
  5. Step 5: Solve for x
    x = 312,518,498.11/20,176.94
  6. Step 6: Final answer
    x = 15,488.89

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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.