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Finding the Fourth Proportional to 23,924.92, 33,014.70 and 13,314.04

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Solution

The fourth proportional to 23,924.92, 33,014.70 and 13,314.04 is: 18,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,924.92 : 33,014.70 = 13,314.04 : x
  2. Step 2: Convert to fraction form
    23,924.92/33,014.70 = 13,314.04/x
  3. Step 3: Cross multiply
    23,924.92x = 33,014.70 × 13,314.04
  4. Step 4: Simplify right side
    23,924.92x = 439,559,036.39
  5. Step 5: Solve for x
    x = 439,559,036.39/23,924.92
  6. Step 6: Final answer
    x = 18,372.43

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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.