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Finding the Fourth Proportional to 21,994.75, 32,992.13 and 9,682.75

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Solution

The fourth proportional to 21,994.75, 32,992.13 and 9,682.75 is: 14,524.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,994.75 : 32,992.13 = 9,682.75 : x
  2. Step 2: Convert to fraction form
    21,994.75/32,992.13 = 9,682.75/x
  3. Step 3: Cross multiply
    21,994.75x = 32,992.13 × 9,682.75
  4. Step 4: Simplify right side
    21,994.75x = 319,454,546.76
  5. Step 5: Solve for x
    x = 319,454,546.76/21,994.75
  6. Step 6: Final answer
    x = 14,524.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.