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Finding the Fourth Proportional to 20,176.80, 27,833.52 and 11,788.44

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Solution

The fourth proportional to 20,176.80, 27,833.52 and 11,788.44 is: 16,261.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,176.80 : 27,833.52 = 11,788.44 : x
  2. Step 2: Convert to fraction form
    20,176.80/27,833.52 = 11,788.44/x
  3. Step 3: Cross multiply
    20,176.80x = 27,833.52 × 11,788.44
  4. Step 4: Simplify right side
    20,176.80x = 328,113,780.51
  5. Step 5: Solve for x
    x = 328,113,780.51/20,176.80
  6. Step 6: Final answer
    x = 16,261.93

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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.