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Finding the Fourth Proportional to 24,289.76, 33,519.90 and 14,216.36

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Solution

The fourth proportional to 24,289.76, 33,519.90 and 14,216.36 is: 19,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,289.76 : 33,519.90 = 14,216.36 : x
  2. Step 2: Convert to fraction form
    24,289.76/33,519.90 = 14,216.36/x
  3. Step 3: Cross multiply
    24,289.76x = 33,519.90 × 14,216.36
  4. Step 4: Simplify right side
    24,289.76x = 476,530,965.56
  5. Step 5: Solve for x
    x = 476,530,965.56/24,289.76
  6. Step 6: Final answer
    x = 19,618.60

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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.