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Finding the Fourth Proportional to 14,972.49, 20,662.00 and 8,599.50

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Solution

The fourth proportional to 14,972.49, 20,662.00 and 8,599.50 is: 11,867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,972.49 : 20,662.00 = 8,599.50 : x
  2. Step 2: Convert to fraction form
    14,972.49/20,662.00 = 8,599.50/x
  3. Step 3: Cross multiply
    14,972.49x = 20,662.00 × 8,599.50
  4. Step 4: Simplify right side
    14,972.49x = 177,682,770.02
  5. Step 5: Solve for x
    x = 177,682,770.02/14,972.49
  6. Step 6: Final answer
    x = 11,867.28

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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.