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Finding the Fourth Proportional to 24,377, 33,640.27 and 13,767.32

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Solution

The fourth proportional to 24,377, 33,640.27 and 13,767.32 is: 18,998.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,377 : 33,640.27 = 13,767.32 : x
  2. Step 2: Convert to fraction form
    24,377/33,640.27 = 13,767.32/x
  3. Step 3: Cross multiply
    24,377x = 33,640.27 × 13,767.32
  4. Step 4: Simplify right side
    24,377x = 463,136,361.98
  5. Step 5: Solve for x
    x = 463,136,361.98/24,377
  6. Step 6: Final answer
    x = 18,998.91

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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.