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Finding the Fourth Proportional to 16,103.44, 22,223.43 and 9,029.86

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Solution

The fourth proportional to 16,103.44, 22,223.43 and 9,029.86 is: 12,461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,103.44 : 22,223.43 = 9,029.86 : x
  2. Step 2: Convert to fraction form
    16,103.44/22,223.43 = 9,029.86/x
  3. Step 3: Cross multiply
    16,103.44x = 22,223.43 × 9,029.86
  4. Step 4: Simplify right side
    16,103.44x = 200,674,461.62
  5. Step 5: Solve for x
    x = 200,674,461.62/16,103.44
  6. Step 6: Final answer
    x = 12,461.59

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1.5x scale

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.