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Finding the Fourth Proportional to 23,327.84, 32,192.52 and 14,949.20

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Solution

The fourth proportional to 23,327.84, 32,192.52 and 14,949.20 is: 20,629.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,327.84 : 32,192.52 = 14,949.20 : x
  2. Step 2: Convert to fraction form
    23,327.84/32,192.52 = 14,949.20/x
  3. Step 3: Cross multiply
    23,327.84x = 32,192.52 × 14,949.20
  4. Step 4: Simplify right side
    23,327.84x = 481,252,419.98
  5. Step 5: Solve for x
    x = 481,252,419.98/23,327.84
  6. Step 6: Final answer
    x = 20,629.96

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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.