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Finding the Fourth Proportional to 13,882.69, 20,832.18 and 5,123.71

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Solution

The fourth proportional to 13,882.69, 20,832.18 and 5,123.71 is: 7,688.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.69 : 20,832.18 = 5,123.71 : x
  2. Step 2: Convert to fraction form
    13,882.69/20,832.18 = 5,123.71/x
  3. Step 3: Cross multiply
    13,882.69x = 20,832.18 × 5,123.71
  4. Step 4: Simplify right side
    13,882.69x = 106,738,048.99
  5. Step 5: Solve for x
    x = 106,738,048.99/13,882.69
  6. Step 6: Final answer
    x = 7,688.57

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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.