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Finding the Fourth Proportional to 23,104.83, 31,884.68 and 12,494.46

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Solution

The fourth proportional to 23,104.83, 31,884.68 and 12,494.46 is: 17,242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,104.83 : 31,884.68 = 12,494.46 : x
  2. Step 2: Convert to fraction form
    23,104.83/31,884.68 = 12,494.46/x
  3. Step 3: Cross multiply
    23,104.83x = 31,884.68 × 12,494.46
  4. Step 4: Simplify right side
    23,104.83x = 398,381,816.33
  5. Step 5: Solve for x
    x = 398,381,816.33/23,104.83
  6. Step 6: Final answer
    x = 17,242.36

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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.