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Finding the Fourth Proportional to 23,805, 32,850.90 and 13,196.25

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Solution

The fourth proportional to 23,805, 32,850.90 and 13,196.25 is: 18,210.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805 : 32,850.90 = 13,196.25 : x
  2. Step 2: Convert to fraction form
    23,805/32,850.90 = 13,196.25/x
  3. Step 3: Cross multiply
    23,805x = 32,850.90 × 13,196.25
  4. Step 4: Simplify right side
    23,805x = 433,508,689.13
  5. Step 5: Solve for x
    x = 433,508,689.13/23,805
  6. Step 6: Final answer
    x = 18,210.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.