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Finding the Fourth Proportional to 22,007, 30,369.12 and 12,574.96

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Solution

The fourth proportional to 22,007, 30,369.12 and 12,574.96 is: 17,353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,007 : 30,369.12 = 12,574.96 : x
  2. Step 2: Convert to fraction form
    22,007/30,369.12 = 12,574.96/x
  3. Step 3: Cross multiply
    22,007x = 30,369.12 × 12,574.96
  4. Step 4: Simplify right side
    22,007x = 381,890,469.24
  5. Step 5: Solve for x
    x = 381,890,469.24/22,007
  6. Step 6: Final answer
    x = 17,353.14

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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.