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Finding the Fourth Proportional to 14,049.84, 21,082.04 and 10,186.14

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Solution

The fourth proportional to 14,049.84, 21,082.04 and 10,186.14 is: 15,284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,049.84 : 21,082.04 = 10,186.14 : x
  2. Step 2: Convert to fraction form
    14,049.84/21,082.04 = 10,186.14/x
  3. Step 3: Cross multiply
    14,049.84x = 21,082.04 × 10,186.14
  4. Step 4: Simplify right side
    14,049.84x = 214,744,610.93
  5. Step 5: Solve for x
    x = 214,744,610.93/14,049.84
  6. Step 6: Final answer
    x = 15,284.49

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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.