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Finding the Fourth Proportional to 14,082.49, 21,022.84 and 13,098.34

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Solution

The fourth proportional to 14,082.49, 21,022.84 and 13,098.34 is: 19,553.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.49 : 21,022.84 = 13,098.34 : x
  2. Step 2: Convert to fraction form
    14,082.49/21,022.84 = 13,098.34/x
  3. Step 3: Cross multiply
    14,082.49x = 21,022.84 × 13,098.34
  4. Step 4: Simplify right side
    14,082.49x = 275,364,306.09
  5. Step 5: Solve for x
    x = 275,364,306.09/14,082.49
  6. Step 6: Final answer
    x = 19,553.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.