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Finding the Fourth Proportional to 23,805.68, 32,852.88 and 13,194.63

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Solution

The fourth proportional to 23,805.68, 32,852.88 and 13,194.63 is: 18,209.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805.68 : 32,852.88 = 13,194.63 : x
  2. Step 2: Convert to fraction form
    23,805.68/32,852.88 = 13,194.63/x
  3. Step 3: Cross multiply
    23,805.68x = 32,852.88 × 13,194.63
  4. Step 4: Simplify right side
    23,805.68x = 433,481,596.03
  5. Step 5: Solve for x
    x = 433,481,596.03/23,805.68
  6. Step 6: Final answer
    x = 18,209.17

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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.