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Finding the Fourth Proportional to 23,864, 32,932.96 and 13,254.08

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Solution

The fourth proportional to 23,864, 32,932.96 and 13,254.08 is: 18,290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,864 : 32,932.96 = 13,254.08 : x
  2. Step 2: Convert to fraction form
    23,864/32,932.96 = 13,254.08/x
  3. Step 3: Cross multiply
    23,864x = 32,932.96 × 13,254.08
  4. Step 4: Simplify right side
    23,864x = 436,496,086.48
  5. Step 5: Solve for x
    x = 436,496,086.48/23,864
  6. Step 6: Final answer
    x = 18,290.99

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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.