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Finding the Fourth Proportional to 22,676.61, 33,991.43 and 16,420.98

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Solution

The fourth proportional to 22,676.61, 33,991.43 and 16,420.98 is: 24,614.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,676.61 : 33,991.43 = 16,420.98 : x
  2. Step 2: Convert to fraction form
    22,676.61/33,991.43 = 16,420.98/x
  3. Step 3: Cross multiply
    22,676.61x = 33,991.43 × 16,420.98
  4. Step 4: Simplify right side
    22,676.61x = 558,172,510.10
  5. Step 5: Solve for x
    x = 558,172,510.10/22,676.61
  6. Step 6: Final answer
    x = 24,614.46

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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.