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Finding the Fourth Proportional to 16,473.76, 22,735.41 and 9,401.24

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Solution

The fourth proportional to 16,473.76, 22,735.41 and 9,401.24 is: 12,974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,473.76 : 22,735.41 = 9,401.24 : x
  2. Step 2: Convert to fraction form
    16,473.76/22,735.41 = 9,401.24/x
  3. Step 3: Cross multiply
    16,473.76x = 22,735.41 × 9,401.24
  4. Step 4: Simplify right side
    16,473.76x = 213,741,045.91
  5. Step 5: Solve for x
    x = 213,741,045.91/16,473.76
  6. Step 6: Final answer
    x = 12,974.64

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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.