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Finding the Fourth Proportional to 14,489.24, 19,994.82 and 8,519.60

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Solution

The fourth proportional to 14,489.24, 19,994.82 and 8,519.60 is: 11,756.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.24 : 19,994.82 = 8,519.60 : x
  2. Step 2: Convert to fraction form
    14,489.24/19,994.82 = 8,519.60/x
  3. Step 3: Cross multiply
    14,489.24x = 19,994.82 × 8,519.60
  4. Step 4: Simplify right side
    14,489.24x = 170,347,868.47
  5. Step 5: Solve for x
    x = 170,347,868.47/14,489.24
  6. Step 6: Final answer
    x = 11,756.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.