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Finding the Fourth Proportional to 29,668.64, 40,940.88 and 17,728.16

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Solution

The fourth proportional to 29,668.64, 40,940.88 and 17,728.16 is: 24,463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,668.64 : 40,940.88 = 17,728.16 : x
  2. Step 2: Convert to fraction form
    29,668.64/40,940.88 = 17,728.16/x
  3. Step 3: Cross multiply
    29,668.64x = 40,940.88 × 17,728.16
  4. Step 4: Simplify right side
    29,668.64x = 725,806,471.18
  5. Step 5: Solve for x
    x = 725,806,471.18/29,668.64
  6. Step 6: Final answer
    x = 24,463.76

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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.