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Finding the Fourth Proportional to 16,225.75, 22,391.54 and 8,773.75

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Solution

The fourth proportional to 16,225.75, 22,391.54 and 8,773.75 is: 12,107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,225.75 : 22,391.54 = 8,773.75 : x
  2. Step 2: Convert to fraction form
    16,225.75/22,391.54 = 8,773.75/x
  3. Step 3: Cross multiply
    16,225.75x = 22,391.54 × 8,773.75
  4. Step 4: Simplify right side
    16,225.75x = 196,457,774.08
  5. Step 5: Solve for x
    x = 196,457,774.08/16,225.75
  6. Step 6: Final answer
    x = 12,107.78

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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.