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Finding the Fourth Proportional to 13,779.61, 20,657.84 and 6,389.37

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Solution

The fourth proportional to 13,779.61, 20,657.84 and 6,389.37 is: 9,578.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,779.61 : 20,657.84 = 6,389.37 : x
  2. Step 2: Convert to fraction form
    13,779.61/20,657.84 = 6,389.37/x
  3. Step 3: Cross multiply
    13,779.61x = 20,657.84 × 6,389.37
  4. Step 4: Simplify right side
    13,779.61x = 131,990,551.21
  5. Step 5: Solve for x
    x = 131,990,551.21/13,779.61
  6. Step 6: Final answer
    x = 9,578.69

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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.