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Finding the Fourth Proportional to 19,900.98, 29,857.56 and 11,142.06

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Solution

The fourth proportional to 19,900.98, 29,857.56 and 11,142.06 is: 16,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,900.98 : 29,857.56 = 11,142.06 : x
  2. Step 2: Convert to fraction form
    19,900.98/29,857.56 = 11,142.06/x
  3. Step 3: Cross multiply
    19,900.98x = 29,857.56 × 11,142.06
  4. Step 4: Simplify right side
    19,900.98x = 332,674,724.97
  5. Step 5: Solve for x
    x = 332,674,724.97/19,900.98
  6. Step 6: Final answer
    x = 16,716.50

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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.