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Finding the Fourth Proportional to 29,821, 41,153.06 and 16,573

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Solution

The fourth proportional to 29,821, 41,153.06 and 16,573 is: 22,870.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,821 : 41,153.06 = 16,573 : x
  2. Step 2: Convert to fraction form
    29,821/41,153.06 = 16,573/x
  3. Step 3: Cross multiply
    29,821x = 41,153.06 × 16,573
  4. Step 4: Simplify right side
    29,821x = 682,029,663.38
  5. Step 5: Solve for x
    x = 682,029,663.38/29,821
  6. Step 6: Final answer
    x = 22,870.78

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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.