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Finding the Fourth Proportional to 23,802.67, 32,847.96 and 13,192.48

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Solution

The fourth proportional to 23,802.67, 32,847.96 and 13,192.48 is: 18,205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.67 : 32,847.96 = 13,192.48 : x
  2. Step 2: Convert to fraction form
    23,802.67/32,847.96 = 13,192.48/x
  3. Step 3: Cross multiply
    23,802.67x = 32,847.96 × 13,192.48
  4. Step 4: Simplify right side
    23,802.67x = 433,346,055.34
  5. Step 5: Solve for x
    x = 433,346,055.34/23,802.67
  6. Step 6: Final answer
    x = 18,205.78

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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.