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Finding the Fourth Proportional to 13,732.53, 20,598.74 and 5,833.84

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Solution

The fourth proportional to 13,732.53, 20,598.74 and 5,833.84 is: 8,750.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732.53 : 20,598.74 = 5,833.84 : x
  2. Step 2: Convert to fraction form
    13,732.53/20,598.74 = 5,833.84/x
  3. Step 3: Cross multiply
    13,732.53x = 20,598.74 × 5,833.84
  4. Step 4: Simplify right side
    13,732.53x = 120,169,633.99
  5. Step 5: Solve for x
    x = 120,169,633.99/13,732.53
  6. Step 6: Final answer
    x = 8,750.73

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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.