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Finding the Fourth Proportional to 13,779.67, 20,643.49 and 8,140.51

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Solution

The fourth proportional to 13,779.67, 20,643.49 and 8,140.51 is: 12,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,779.67 : 20,643.49 = 8,140.51 : x
  2. Step 2: Convert to fraction form
    13,779.67/20,643.49 = 8,140.51/x
  3. Step 3: Cross multiply
    13,779.67x = 20,643.49 × 8,140.51
  4. Step 4: Simplify right side
    13,779.67x = 168,048,493.54
  5. Step 5: Solve for x
    x = 168,048,493.54/13,779.67
  6. Step 6: Final answer
    x = 12,195.40

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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.