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Finding the Fourth Proportional to 20,855.42, 28,779.53 and 11,423.78

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Solution

The fourth proportional to 20,855.42, 28,779.53 and 11,423.78 is: 15,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,855.42 : 28,779.53 = 11,423.78 : x
  2. Step 2: Convert to fraction form
    20,855.42/28,779.53 = 11,423.78/x
  3. Step 3: Cross multiply
    20,855.42x = 28,779.53 × 11,423.78
  4. Step 4: Simplify right side
    20,855.42x = 328,771,019.22
  5. Step 5: Solve for x
    x = 328,771,019.22/20,855.42
  6. Step 6: Final answer
    x = 15,764.30

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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.