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Finding the Fourth Proportional to 13,460.58, 20,169.88 and 8,519.78

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Solution

The fourth proportional to 13,460.58, 20,169.88 and 8,519.78 is: 12,766.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.58 : 20,169.88 = 8,519.78 : x
  2. Step 2: Convert to fraction form
    13,460.58/20,169.88 = 8,519.78/x
  3. Step 3: Cross multiply
    13,460.58x = 20,169.88 × 8,519.78
  4. Step 4: Simplify right side
    13,460.58x = 171,842,969.35
  5. Step 5: Solve for x
    x = 171,842,969.35/13,460.58
  6. Step 6: Final answer
    x = 12,766.39

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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.