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Finding the Fourth Proportional to 14,706.73, 22,057.76 and 12,223.86

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Solution

The fourth proportional to 14,706.73, 22,057.76 and 12,223.86 is: 18,333.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.73 : 22,057.76 = 12,223.86 : x
  2. Step 2: Convert to fraction form
    14,706.73/22,057.76 = 12,223.86/x
  3. Step 3: Cross multiply
    14,706.73x = 22,057.76 × 12,223.86
  4. Step 4: Simplify right side
    14,706.73x = 269,630,970.15
  5. Step 5: Solve for x
    x = 269,630,970.15/14,706.73
  6. Step 6: Final answer
    x = 18,333.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.