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Finding the Fourth Proportional to 21,697.47, 32,546.21 and 7,836.75

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Solution

The fourth proportional to 21,697.47, 32,546.21 and 7,836.75 is: 11,755.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,697.47 : 32,546.21 = 7,836.75 : x
  2. Step 2: Convert to fraction form
    21,697.47/32,546.21 = 7,836.75/x
  3. Step 3: Cross multiply
    21,697.47x = 32,546.21 × 7,836.75
  4. Step 4: Simplify right side
    21,697.47x = 255,056,472.03
  5. Step 5: Solve for x
    x = 255,056,472.03/21,697.47
  6. Step 6: Final answer
    x = 11,755.13

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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.