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Finding the Fourth Proportional to 16,381.92, 22,601.86 and 9,669.86

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Solution

The fourth proportional to 16,381.92, 22,601.86 and 9,669.86 is: 13,341.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.92 : 22,601.86 = 9,669.86 : x
  2. Step 2: Convert to fraction form
    16,381.92/22,601.86 = 9,669.86/x
  3. Step 3: Cross multiply
    16,381.92x = 22,601.86 × 9,669.86
  4. Step 4: Simplify right side
    16,381.92x = 218,556,821.94
  5. Step 5: Solve for x
    x = 218,556,821.94/16,381.92
  6. Step 6: Final answer
    x = 13,341.34

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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.