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Finding the Fourth Proportional to 21,189.82, 29,242.06 and 11,758.38

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Solution

The fourth proportional to 21,189.82, 29,242.06 and 11,758.38 is: 16,226.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189.82 : 29,242.06 = 11,758.38 : x
  2. Step 2: Convert to fraction form
    21,189.82/29,242.06 = 11,758.38/x
  3. Step 3: Cross multiply
    21,189.82x = 29,242.06 × 11,758.38
  4. Step 4: Simplify right side
    21,189.82x = 343,839,253.46
  5. Step 5: Solve for x
    x = 343,839,253.46/21,189.82
  6. Step 6: Final answer
    x = 16,226.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.