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Finding the Fourth Proportional to 13,852.86, 20,779.34 and 3,464.61

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Solution

The fourth proportional to 13,852.86, 20,779.34 and 3,464.61 is: 5,196.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.86 : 20,779.34 = 3,464.61 : x
  2. Step 2: Convert to fraction form
    13,852.86/20,779.34 = 3,464.61/x
  3. Step 3: Cross multiply
    13,852.86x = 20,779.34 × 3,464.61
  4. Step 4: Simplify right side
    13,852.86x = 71,992,291.83
  5. Step 5: Solve for x
    x = 71,992,291.83/13,852.86
  6. Step 6: Final answer
    x = 5,196.93

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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.