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Finding the Fourth Proportional to 16,624.82, 22,939.10 and 9,911.07

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Solution

The fourth proportional to 16,624.82, 22,939.10 and 9,911.07 is: 13,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,624.82 : 22,939.10 = 9,911.07 : x
  2. Step 2: Convert to fraction form
    16,624.82/22,939.10 = 9,911.07/x
  3. Step 3: Cross multiply
    16,624.82x = 22,939.10 × 9,911.07
  4. Step 4: Simplify right side
    16,624.82x = 227,351,013.45
  5. Step 5: Solve for x
    x = 227,351,013.45/16,624.82
  6. Step 6: Final answer
    x = 13,675.39

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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.