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Finding the Fourth Proportional to 13,446.68, 20,167.31 and 12,779.84

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Solution

The fourth proportional to 13,446.68, 20,167.31 and 12,779.84 is: 19,167.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446.68 : 20,167.31 = 12,779.84 : x
  2. Step 2: Convert to fraction form
    13,446.68/20,167.31 = 12,779.84/x
  3. Step 3: Cross multiply
    13,446.68x = 20,167.31 × 12,779.84
  4. Step 4: Simplify right side
    13,446.68x = 257,735,077.40
  5. Step 5: Solve for x
    x = 257,735,077.40/13,446.68
  6. Step 6: Final answer
    x = 19,167.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.