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Finding the Fourth Proportional to 13,779.77, 20,659.78 and 5,774.24

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Solution

The fourth proportional to 13,779.77, 20,659.78 and 5,774.24 is: 8,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,779.77 : 20,659.78 = 5,774.24 : x
  2. Step 2: Convert to fraction form
    13,779.77/20,659.78 = 5,774.24/x
  3. Step 3: Cross multiply
    13,779.77x = 20,659.78 × 5,774.24
  4. Step 4: Simplify right side
    13,779.77x = 119,294,410.33
  5. Step 5: Solve for x
    x = 119,294,410.33/13,779.77
  6. Step 6: Final answer
    x = 8,657.21

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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.