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Finding the Fourth Proportional to 22,676.34, 33,965.28 and 10,965

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Solution

The fourth proportional to 22,676.34, 33,965.28 and 10,965 is: 16,423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,676.34 : 33,965.28 = 10,965 : x
  2. Step 2: Convert to fraction form
    22,676.34/33,965.28 = 10,965/x
  3. Step 3: Cross multiply
    22,676.34x = 33,965.28 × 10,965
  4. Step 4: Simplify right side
    22,676.34x = 372,429,295.20
  5. Step 5: Solve for x
    x = 372,429,295.20/22,676.34
  6. Step 6: Final answer
    x = 16,423.70

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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.