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Finding the Fourth Proportional to 23,844.80, 32,906.93 and 13,233.80

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Solution

The fourth proportional to 23,844.80, 32,906.93 and 13,233.80 is: 18,263.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,844.80 : 32,906.93 = 13,233.80 : x
  2. Step 2: Convert to fraction form
    23,844.80/32,906.93 = 13,233.80/x
  3. Step 3: Cross multiply
    23,844.80x = 32,906.93 × 13,233.80
  4. Step 4: Simplify right side
    23,844.80x = 435,483,746.33
  5. Step 5: Solve for x
    x = 435,483,746.33/23,844.80
  6. Step 6: Final answer
    x = 18,263.26

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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.