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Finding the Fourth Proportional to 23,804.84, 32,850.12 and 13,733.30

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Solution

The fourth proportional to 23,804.84, 32,850.12 and 13,733.30 is: 18,951.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,804.84 : 32,850.12 = 13,733.30 : x
  2. Step 2: Convert to fraction form
    23,804.84/32,850.12 = 13,733.30/x
  3. Step 3: Cross multiply
    23,804.84x = 32,850.12 × 13,733.30
  4. Step 4: Simplify right side
    23,804.84x = 451,140,553.00
  5. Step 5: Solve for x
    x = 451,140,553.00/23,804.84
  6. Step 6: Final answer
    x = 18,951.63

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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.