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Finding the Fourth Proportional to 22,967.64, 31,694.94 and 12,896.16

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Solution

The fourth proportional to 22,967.64, 31,694.94 and 12,896.16 is: 17,796.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.64 : 31,694.94 = 12,896.16 : x
  2. Step 2: Convert to fraction form
    22,967.64/31,694.94 = 12,896.16/x
  3. Step 3: Cross multiply
    22,967.64x = 31,694.94 × 12,896.16
  4. Step 4: Simplify right side
    22,967.64x = 408,743,017.43
  5. Step 5: Solve for x
    x = 408,743,017.43/22,967.64
  6. Step 6: Final answer
    x = 17,796.47

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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.