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Finding the Fourth Proportional to 22,306.84, 30,783.84 and 12,234.67

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Solution

The fourth proportional to 22,306.84, 30,783.84 and 12,234.67 is: 16,884.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,306.84 : 30,783.84 = 12,234.67 : x
  2. Step 2: Convert to fraction form
    22,306.84/30,783.84 = 12,234.67/x
  3. Step 3: Cross multiply
    22,306.84x = 30,783.84 × 12,234.67
  4. Step 4: Simplify right side
    22,306.84x = 376,630,123.73
  5. Step 5: Solve for x
    x = 376,630,123.73/22,306.84
  6. Step 6: Final answer
    x = 16,884.06

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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.