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Finding the Fourth Proportional to 13,695.80, 20,562.90 and 8,511.80

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Solution

The fourth proportional to 13,695.80, 20,562.90 and 8,511.80 is: 12,779.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,695.80 : 20,562.90 = 8,511.80 : x
  2. Step 2: Convert to fraction form
    13,695.80/20,562.90 = 8,511.80/x
  3. Step 3: Cross multiply
    13,695.80x = 20,562.90 × 8,511.80
  4. Step 4: Simplify right side
    13,695.80x = 175,027,292.22
  5. Step 5: Solve for x
    x = 175,027,292.22/13,695.80
  6. Step 6: Final answer
    x = 12,779.63

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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.