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Finding the Fourth Proportional to 20,775, 28,669.59 and 11,343.77

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Solution

The fourth proportional to 20,775, 28,669.59 and 11,343.77 is: 15,654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,775 : 28,669.59 = 11,343.77 : x
  2. Step 2: Convert to fraction form
    20,775/28,669.59 = 11,343.77/x
  3. Step 3: Cross multiply
    20,775x = 28,669.59 × 11,343.77
  4. Step 4: Simplify right side
    20,775x = 325,221,091.61
  5. Step 5: Solve for x
    x = 325,221,091.61/20,775
  6. Step 6: Final answer
    x = 15,654.44

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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.