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Finding the Fourth Proportional to 16,401.92, 22,636.64 and 9,234.52

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Solution

The fourth proportional to 16,401.92, 22,636.64 and 9,234.52 is: 12,744.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,401.92 : 22,636.64 = 9,234.52 : x
  2. Step 2: Convert to fraction form
    16,401.92/22,636.64 = 9,234.52/x
  3. Step 3: Cross multiply
    16,401.92x = 22,636.64 × 9,234.52
  4. Step 4: Simplify right side
    16,401.92x = 209,038,504.81
  5. Step 5: Solve for x
    x = 209,038,504.81/16,401.92
  6. Step 6: Final answer
    x = 12,744.76

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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.