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Finding the Fourth Proportional to 23,805.84, 32,852.08 and 13,195.60

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Solution

The fourth proportional to 23,805.84, 32,852.08 and 13,195.60 is: 18,209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805.84 : 32,852.08 = 13,195.60 : x
  2. Step 2: Convert to fraction form
    23,805.84/32,852.08 = 13,195.60/x
  3. Step 3: Cross multiply
    23,805.84x = 32,852.08 × 13,195.60
  4. Step 4: Simplify right side
    23,805.84x = 433,502,906.85
  5. Step 5: Solve for x
    x = 433,502,906.85/23,805.84
  6. Step 6: Final answer
    x = 18,209.94

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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.