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Finding the Fourth Proportional to 13,732.89, 20,599.13 and 4,965.66

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Solution

The fourth proportional to 13,732.89, 20,599.13 and 4,965.66 is: 7,448.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732.89 : 20,599.13 = 4,965.66 : x
  2. Step 2: Convert to fraction form
    13,732.89/20,599.13 = 4,965.66/x
  3. Step 3: Cross multiply
    13,732.89x = 20,599.13 × 4,965.66
  4. Step 4: Simplify right side
    13,732.89x = 102,288,251.05
  5. Step 5: Solve for x
    x = 102,288,251.05/13,732.89
  6. Step 6: Final answer
    x = 7,448.41

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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.