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Finding the Fourth Proportional to 23,781.84, 32,811.40 and 13,843.92

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Solution

The fourth proportional to 23,781.84, 32,811.40 and 13,843.92 is: 19,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,781.84 : 32,811.40 = 13,843.92 : x
  2. Step 2: Convert to fraction form
    23,781.84/32,811.40 = 13,843.92/x
  3. Step 3: Cross multiply
    23,781.84x = 32,811.40 × 13,843.92
  4. Step 4: Simplify right side
    23,781.84x = 454,238,396.69
  5. Step 5: Solve for x
    x = 454,238,396.69/23,781.84
  6. Step 6: Final answer
    x = 19,100.22

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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.