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Finding the Fourth Proportional to 22,234.84, 30,684.87 and 12,162.68

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Solution

The fourth proportional to 22,234.84, 30,684.87 and 12,162.68 is: 16,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,234.84 : 30,684.87 = 12,162.68 : x
  2. Step 2: Convert to fraction form
    22,234.84/30,684.87 = 12,162.68/x
  3. Step 3: Cross multiply
    22,234.84x = 30,684.87 × 12,162.68
  4. Step 4: Simplify right side
    22,234.84x = 373,210,254.65
  5. Step 5: Solve for x
    x = 373,210,254.65/22,234.84
  6. Step 6: Final answer
    x = 16,784.93

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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.