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Finding the Fourth Proportional to 23,785.84, 32,811.24 and 18,731.44

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Solution

The fourth proportional to 23,785.84, 32,811.24 and 18,731.44 is: 25,838.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,785.84 : 32,811.24 = 18,731.44 : x
  2. Step 2: Convert to fraction form
    23,785.84/32,811.24 = 18,731.44/x
  3. Step 3: Cross multiply
    23,785.84x = 32,811.24 × 18,731.44
  4. Step 4: Simplify right side
    23,785.84x = 614,601,773.39
  5. Step 5: Solve for x
    x = 614,601,773.39/23,785.84
  6. Step 6: Final answer
    x = 25,838.98

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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.