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Finding the Fourth Proportional to 20,855.84, 28,779.92 and 11,424.24

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Solution

The fourth proportional to 20,855.84, 28,779.92 and 11,424.24 is: 15,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,855.84 : 28,779.92 = 11,424.24 : x
  2. Step 2: Convert to fraction form
    20,855.84/28,779.92 = 11,424.24/x
  3. Step 3: Cross multiply
    20,855.84x = 28,779.92 × 11,424.24
  4. Step 4: Simplify right side
    20,855.84x = 328,788,713.26
  5. Step 5: Solve for x
    x = 328,788,713.26/20,855.84
  6. Step 6: Final answer
    x = 15,764.83

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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.