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Finding the Fourth Proportional to 21,199.17, 29,253.69 and 11,767.17

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Solution

The fourth proportional to 21,199.17, 29,253.69 and 11,767.17 is: 16,238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,199.17 : 29,253.69 = 11,767.17 : x
  2. Step 2: Convert to fraction form
    21,199.17/29,253.69 = 11,767.17/x
  3. Step 3: Cross multiply
    21,199.17x = 29,253.69 × 11,767.17
  4. Step 4: Simplify right side
    21,199.17x = 344,233,143.36
  5. Step 5: Solve for x
    x = 344,233,143.36/21,199.17
  6. Step 6: Final answer
    x = 16,238.05

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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.