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Finding the Fourth Proportional to 20,166.46, 27,758.10 and 14,779.42

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Solution

The fourth proportional to 20,166.46, 27,758.10 and 14,779.42 is: 20,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,166.46 : 27,758.10 = 14,779.42 : x
  2. Step 2: Convert to fraction form
    20,166.46/27,758.10 = 14,779.42/x
  3. Step 3: Cross multiply
    20,166.46x = 27,758.10 × 14,779.42
  4. Step 4: Simplify right side
    20,166.46x = 410,248,618.30
  5. Step 5: Solve for x
    x = 410,248,618.30/20,166.46
  6. Step 6: Final answer
    x = 20,343.12

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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.