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Finding the Fourth Proportional to 29,993.90, 41,377.84 and 17,416.22

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Solution

The fourth proportional to 29,993.90, 41,377.84 and 17,416.22 is: 24,026.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,993.90 : 41,377.84 = 17,416.22 : x
  2. Step 2: Convert to fraction form
    29,993.90/41,377.84 = 17,416.22/x
  3. Step 3: Cross multiply
    29,993.90x = 41,377.84 × 17,416.22
  4. Step 4: Simplify right side
    29,993.90x = 720,645,314.14
  5. Step 5: Solve for x
    x = 720,645,314.14/29,993.90
  6. Step 6: Final answer
    x = 24,026.40

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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.