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Finding the Fourth Proportional to 23,553.68, 32,504.64 and 12,944

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Solution

The fourth proportional to 23,553.68, 32,504.64 and 12,944 is: 17,863.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,553.68 : 32,504.64 = 12,944 : x
  2. Step 2: Convert to fraction form
    23,553.68/32,504.64 = 12,944/x
  3. Step 3: Cross multiply
    23,553.68x = 32,504.64 × 12,944
  4. Step 4: Simplify right side
    23,553.68x = 420,740,060.16
  5. Step 5: Solve for x
    x = 420,740,060.16/23,553.68
  6. Step 6: Final answer
    x = 17,863.03

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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.