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Finding the Fourth Proportional to 13,833.53, 20,719.08 and 9,692.03

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Solution

The fourth proportional to 13,833.53, 20,719.08 and 9,692.03 is: 14,516.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.53 : 20,719.08 = 9,692.03 : x
  2. Step 2: Convert to fraction form
    13,833.53/20,719.08 = 9,692.03/x
  3. Step 3: Cross multiply
    13,833.53x = 20,719.08 × 9,692.03
  4. Step 4: Simplify right side
    13,833.53x = 200,809,889.94
  5. Step 5: Solve for x
    x = 200,809,889.94/13,833.53
  6. Step 6: Final answer
    x = 14,516.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.