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Finding the Fourth Proportional to 22,226.94, 30,674.16 and 12,798.54

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Solution

The fourth proportional to 22,226.94, 30,674.16 and 12,798.54 is: 17,662.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,226.94 : 30,674.16 = 12,798.54 : x
  2. Step 2: Convert to fraction form
    22,226.94/30,674.16 = 12,798.54/x
  3. Step 3: Cross multiply
    22,226.94x = 30,674.16 × 12,798.54
  4. Step 4: Simplify right side
    22,226.94x = 392,584,463.73
  5. Step 5: Solve for x
    x = 392,584,463.73/22,226.94
  6. Step 6: Final answer
    x = 17,662.55

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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.