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Finding the Fourth Proportional to 16,273.78, 22,457.85 and 8,821.78

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Solution

The fourth proportional to 16,273.78, 22,457.85 and 8,821.78 is: 12,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,273.78 : 22,457.85 = 8,821.78 : x
  2. Step 2: Convert to fraction form
    16,273.78/22,457.85 = 8,821.78/x
  3. Step 3: Cross multiply
    16,273.78x = 22,457.85 × 8,821.78
  4. Step 4: Simplify right side
    16,273.78x = 198,118,211.97
  5. Step 5: Solve for x
    x = 198,118,211.97/16,273.78
  6. Step 6: Final answer
    x = 12,174.07

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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.