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Finding the Fourth Proportional to 29,713, 41,003.94 and 17,776.84

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Solution

The fourth proportional to 29,713, 41,003.94 and 17,776.84 is: 24,532.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,713 : 41,003.94 = 17,776.84 : x
  2. Step 2: Convert to fraction form
    29,713/41,003.94 = 17,776.84/x
  3. Step 3: Cross multiply
    29,713x = 41,003.94 × 17,776.84
  4. Step 4: Simplify right side
    29,713x = 728,920,480.75
  5. Step 5: Solve for x
    x = 728,920,480.75/29,713
  6. Step 6: Final answer
    x = 24,532.04

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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.