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Finding the Fourth Proportional to 23,806.17, 32,852.01 and 13,195.71

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Solution

The fourth proportional to 23,806.17, 32,852.01 and 13,195.71 is: 18,209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.17 : 32,852.01 = 13,195.71 : x
  2. Step 2: Convert to fraction form
    23,806.17/32,852.01 = 13,195.71/x
  3. Step 3: Cross multiply
    23,806.17x = 32,852.01 × 13,195.71
  4. Step 4: Simplify right side
    23,806.17x = 433,505,596.88
  5. Step 5: Solve for x
    x = 433,505,596.88/23,806.17
  6. Step 6: Final answer
    x = 18,209.80

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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.