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Finding the Fourth Proportional to 13,575.96, 20,364.48 and 5,779.44

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Solution

The fourth proportional to 13,575.96, 20,364.48 and 5,779.44 is: 8,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575.96 : 20,364.48 = 5,779.44 : x
  2. Step 2: Convert to fraction form
    13,575.96/20,364.48 = 5,779.44/x
  3. Step 3: Cross multiply
    13,575.96x = 20,364.48 × 5,779.44
  4. Step 4: Simplify right side
    13,575.96x = 117,695,290.29
  5. Step 5: Solve for x
    x = 117,695,290.29/13,575.96
  6. Step 6: Final answer
    x = 8,669.39

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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.