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Finding the Fourth Proportional to 16,201.35, 22,358.43 and 8,933.13

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Solution

The fourth proportional to 16,201.35, 22,358.43 and 8,933.13 is: 12,328.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.35 : 22,358.43 = 8,933.13 : x
  2. Step 2: Convert to fraction form
    16,201.35/22,358.43 = 8,933.13/x
  3. Step 3: Cross multiply
    16,201.35x = 22,358.43 × 8,933.13
  4. Step 4: Simplify right side
    16,201.35x = 199,730,761.79
  5. Step 5: Solve for x
    x = 199,730,761.79/16,201.35
  6. Step 6: Final answer
    x = 12,328.03

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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.